A). And now we also have a probability Where the connector. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. 4 are congruent angles. what is the probability the 8th measuring device tested will be the first to fail? If the probability of failure for this device is independent of running time, find the probability that this device will la. If the switch is humid, the probability that it will fail during the guarantee per, A computer manufacturer has established that 4% of its new laptops sold are returned for defective repair within their 12-month warranty period. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. What is the probability that a sample of 1 of the 8 computers will not contain a defective computer? P(A \text { & } B) = P(A) \times P(B | A) If the probability of failure for this device is independent of running time, find the probability that this device will fail during the 10 days that follow the first 100 days of running time. This E-mail is already registered as a Premium Member with us. b. 2. The time between unplanned shutdowns of a power plant has an exponential distribution with a mean of 25 days. It means that the values of both x and y have a strong relationship giving them a value of 1. 13/200 17/80 21/80 17/40, Has a base of 3, is reflected over the y-axis, has a horizontal shift right by 5 and an asymptote of y=-3. copyright 2003-2023 Homework.Study.com. Two components of a minicomputer have the following joint pdf for their times to failure X and Y : f ( x , y ) = { c ( x + y ) e ( x + 2 y ) x 0 a n d y 0 0 o t h e r w i s e What is the probability that the lifetime Y of the second com, The number of failures of a texting instrument from contamination particles on the product is a Poisson random variable with a mean of 0.04 failure per hour. << Authors: Douglas C. Montgomery, George C. Runger, Search Textbook questions, tutors and Books, Change your search query and then try again. (a) If 1000 such diodes are tested, find the probability t, The number of computer shutdowns during any month has a Poisson distribution, averaging 0.25 shutdowns per month. D) Lines intersect at one point. Find the probability (use 4 decimal places in yo, Suppose that 50 identical batteries are being tested. Livelong, Inc.'s computer monitors have a failure rate of 0.00095 units per hour. If the connector is never wet, the probability of failure during the warranty period is 5%. the probability of a failure during the warranty period is 5%. The probability that there would be more than 3 components defective in this sample, by using the Poisson approximation, is: (a), The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean 260 minutes and standard deviation 50 minutes. . The probability that a certain type of computer will have a defective part is 0.36. Each laptop has an 8% probability of not working. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? Find the variance for the probability distribu, In a factory, a device that works effectively as good as new during its operating life, has failure rate of 0.008 failures per day. A) Angles 3 and 4 are complementary angles. Find the probability that at least 2 months will elapse before a further failure. The time it takes to fix an equipment failure is uniformly distributed between 3 and 7.5 hours. Find the probability that the time between two unplanned shutdowns. B) Linear angles are equal. Learn what the conditional probability of an event occurring is. Unaware of this, a customer buys 6 laptops. (a) If you buy one spark plug, what is the probability that it is not defective? The probability of a machine failure is 0.1, and each machine failure is independent. Find k . Suppose the time until failure of the appliance failing has an exponential distribution with mean 8. a. If 90 % of the connectors are kept dry and 10 % are wet, what proportion of connectors fail during the warranty period? In a factory, a device that works effectively as good as new during its operating life, has failure rate of 0.008 failures per day. . The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. If the connector is ever wet, the probability of a failure during the warranty period is 5%. If the connector is ever wet, the probability of a failure during the warranty period is $5 \% .$ If $90 \%$ of the connectors are kept dry and $10 \%$ are wet, what proportion of connectors fail during the warranty period? The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. If the connector is ever wet, the probability of a failure during the warranty period is 5 % . Kindly login to access the content at no cost. SOLVED:The probability is 1 % that an electrical connector that is kept dry fails during the warranty period. The probability 1% that an electrical connector that kept dry, The probability 1% that an electrical connector that kept dry : 79424. A shipment of 8 computers contains 2 with defects. iPad. Find the requested probabilities. If the connector is ever wet, the probability of a failure during the warranty period is 3%. A shipment of 8 computers contains 2 with defects. What is the probability that at least 3. Which reason is the justification for the statement that angle A angle B? If the connector is ever wet, the probability of a failure during the warranty period is 5%. Let F denote the event that a connector fails and let X denote the event that a connector is wet. If the connector is ever wet, the probability of a failure during the warranty period is 5%. The probability that an electrical switch, which is kept in dry conditions, fails during the guarantee period, is 1%. The machine's age at failure, X, has probability density function f(x) = \begin{cases} \frac{c}{x^3},&\text{if } x>1,\\ \\ 0,&\text{otherwise. (b) Given that a. (B) What is the. What is the probability that exactly two diodes fail? a. If BMCC randomly bought 3 of these computers, find the probability that BMCC will get 1 defective computer. Find the B_{10} life of these batteries. Please subscribe to view the answer, The probability is $1 \%$ that an electrical connector that is kept dry fails during the warranty pcriod of a portable computer. What proportion of connectors fail during the warranty period? If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? Computer parts are manufactured with a probability of being 20% defective. B) Angle 3 and Question : The probability 1% that an electrical connector that kept dry : 79424 The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. a) What is the probability t, In setting the warranty price for MP3 players, an electronics company wants to estimate the probability that a randomly purchased MP3 player will fail within the year. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. What is the probability of a single switch experiencing at least one f. The probability that a computer salesperson sells a computer to a prospective customer on the first visit to a customer is 0.40. Answer: There is 0 . First, we can find the probability of failure for each type of connector (dry and wet) separately. >> If the connector is ever wet, the probability of a failure during the warranty period is 5%. 12% of computer chips manufactured are defective. Get the app to make the most of your account. A. Midwest Parts Supply (MPS) is a fabricator of small steel parts that, Find Data for Profit Variance Analysis Required Find the values of the, You landed a summer internship with a company that processes dental insurance, Use the simplex method to solve the following problem. Find the probability that the system does not fail, if the number of redundant components is (a) 3. Determine the following probabilities. what proportion of connectors fail during the warranty period? ii. Use the normal approximation to Binomial to find the probability that among 160 such compone, The probability that a particular consumer electronics product will fail during its warranty period is 0.02. If the connector is ever wet, the probability of a failure during the warranty period is 4%. (a) What is the probability of a failure given there are more than 1,000 wells in a geological formation? (A) What is the likelihood that 5 will be broken? A. Testing of a number of switches finds that in 350,000 hours of total test time, 35 failures occur. C) Angle 4 is greater than angle 3. the probability of a failure during the warranty period is 5%. Let F denote the event that a connector fails and let X denote the event that a connector is wet. {/eq} and {eq}B b. There are three types of failures for a computer. A computer manufacturer has determined that the number of defective chips produced daily follows the following probability distribution |x|p(x) |0|0.70 |1|0.12 |2|0.08 |3|0.06 |4|0.04 a) Calculate the expected number of defective chips produced daily. What is the probability of failure within 20000 hours? School Business Management & Finance High School; Course Title MATHEMATIC 212; Uploaded By saisu. The probability that at least one is defective. A shipment of 8 computers contains 3 with defects. Statistics and Probability questions and answers, The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. If X is the number of defective pieces and Y is the nymber of non-defec, Spark Plugs: Assume that 2% of all spark plugs are defective. B) Angle 3 and 4 are congruen The probability is 1% that an electrical connector that is kept dry fails during the warranty period of portable computer. find the probability. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. If the connector is ever wet. What is involved in the situation analysis? Do you need an answer to a question different from the above? D) Angle 3 is greater than angle 4. 7O:idy~esnQ3:Ly ~8#* %~C;x$Mme(u 9Lz& Y (`@h*\}ruP3r{:t0>.5)8/aeeaFoW0Ug!V. B. Consider a sample of 10,000 computers. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? )lZUt;"u~&}|&bY_K8D$/$as=+G_o]WhWl [09/,j[6%o\"`m 0x;biM&,"Rq A) Vertical angles are congruent. Consider the experiment of randomly selecting one electrical connector from a pile of 100 connectors. Each laptop has an 8% probability of not working. If the salesperson fails to make a sale on the first visit, the probability that a sale will be made on the second vis, The lifelength Y (in years) of a memory chip in a laptop computer is a random variable with probability density of: f(y) = left{begin{matrix} frac{1}{4}y^2 e^{(frac{-y3}{12})} quad & text{if}, From a bin with three defective, two non-defective and three doubtful pieces of a product, a random sample of 4 pieces selected. (b) If you buy 4 s, Find the number of successes x suggested by the given statement. The probability is 1% that an electrical connector that is kept dry fails during the warranty period, i.e. (b), Consider the well failure data given below. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. If the connector is ever wet, the probability of a failure during the warranty period is 5%. The probability 1% that an electrical connector that kept dry, The probability 1% that an electrical connector that kept dry : 212948. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors do not fail during the warranty period? The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. Suppose that a disk drive fails in a given day with probability. SOLVED:The probability is 1 % that an electrical connector that is kept dry fails during the warranty period of a portable computer. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the . An online computer store sells 6 such computers. The probability that failure is due to hardware is .10 , the probability that it is due to software is .60 and the probability that it is due to other issues is .30 . Determine the probability that a) A co, Livelong, Inc.'s computer monitors have a failure rate of 0.000035 units per hour. D) Angle 3 is greater than angle 4. A sample of 100 independent units of the product is tracked for warranty performance. A shipment of 8 computers contains 4 with defects. C) Intersect If the actual time failure is a random variable that is exponentially distributed find. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. 1.4% of connectors fail during the warranty period. Experts are tested by Chegg as specialists in their subject area. Find the probability that a sample of size 1, drawn from the 8, will not contain a defective computer. A random sample of 20 laptops from this manufacturer is selected. If the probability of failure for this device is independent of running time, find the probability that this device will fa, In a factory, a device that works effectively as good as new during its operating life, has failure rate of 0.008 failures per day. Assume that the life of a computer is exponentially distributed (which is a good assumption). If the connector is ever wet. There is a 5% chance that an electrical storm will occur on, A device has a constant failure rate of 0.7/year. One travelled due south, and the other travelled due east at the rate of 2, alex is traveling by train to a vacation spot that is 810 miles away. The sales tax on a surfboard is $12. t angles. b. a) Find the probability that there are no failures in a given day. When sampling with replacement (so that the p = probability of success does not change), note that a su, Suppose that only 0.10% of all computers of a certain type experience CPU failure during the warranty period. Find the, A data center has 10,000 disk drives. If a connector is dry, an 1% probability of failling. A component has an exponential time-to-failure distribution with a mean of 10,000 hours. If the connector is ever wet, the probability of a failure during the warranty period is 5%. The probability that the, Computer keyboard failures can be attributed to electrical defects or mechanical defects. If the connector is ever wet, the probability of a failure during the warranty period is 5%. This textbook answer is only visible when subscribed! Download the App! Suppose that 90% of all connectors are kept dry. Suppose a computer chip manufacturer rejects 1% of the chips produced because they fail presale testing. If the connector is ever wet, the probability of a failure during the warranty period is 5%. (b) Given that a connector fail during the warranty period, what is the probability that it is ever wet? Find the probability that a sample of size 2 ,drawn from the 8, will not contain a defective computer. If the probability of failure for this device is independent of running time, find the probability that this device will fail after 50 days of working and before 100 days of running time. The probability is 1% that an electrical connector that is kept dry fails during the warranty period, i.e. Assuming an exponential distribution, what is the probability of failure wit. You randomly select 20 laptops for your sales people. What is the probability that at least one of them will have a defective part? {/eq} and two random events, then, {eq}P(A \text { or } B) = P(A) + P(B) - P(A \text { & } B) \\ What is the probability that greater than 40 batter, Suppose that 50 identical batteries are being tested. Given data : Purchased extended warranty of regular price- 0.21 Purchased extended warranty of sale price - 0.14 Did not purchase extended warra, A quality engineer tallies the defective and non-defectives found for each part number she oversees. Product number Defective Non-defective A2345 35 200 A55. What is the probability that at least one of them will have a def, The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x)=(e^{(-x/1016)})/1016 for x is greater than 0. (a) What is the probability of failure within a 100-hr warranty period? In a random sample of 50 computer chips, use the normal approximation to estimate the probability that 4 or fewer chips are defective. Expert Answer the connector is ever wet, the probability of a failure during the warranty period is 5%. A certain component of an electronic device has a probability of 0.1 of failing. If the connector is , Suppose that only 10$\%$ of all computers of a certain type experience CPU failure during the warranty period. ScholarOn, 10685-B Hazelhurst Dr. # 25977, Houston, TX 77043,USA. %PDF-1.2 If the connector is ever wet, the probability of a failure during the warranty period is 5%. What, The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are .5470, .3562, .0870, .0094, and .0004, respectively. HWmo_!\bZ\p(sC[g"JZ[%F"erpyyg:;yOdvu$'XlsNO^t'%'t*T Cvu~v-6iD)Ws0aBNe bOf?3{Wv1xS.ai~Z8z+@Hc:EVYYe~'q{d If 90% of the connectors are kept dry and 10% are wet,what proportion of connectors fail during the warranty period? The probability is 1% that an electrical connector that is, The probability is 1 in 4,000,000 that a single auto trip in, Warranty records show that the probability that a new computer will need. a. B) Linear angles are equal. For dry connectors, the probability of failure is 1%. If the connector is ever wet, the probability of a failure during the warranty period is 5%. If 909 of the connectors are kept dry and 1096 are wet; what proportion of connectors fail during the warranty period? Please subscribe to view the answer, The probability is $1 \%$ that an electrical connector that is kept dry fails during the warranty period of a portable computer. In a random selection of 6000 previously sold MP3 players, 81 of them failed within the, Testing of a number of switches finds that in 350,000 hours of total test time, 35 failures occur. If the connector is ever wet; the probability of a failure during the warranty period is 59. The probability that a computer i, Assume that there is a 50 chance of a hard drive damage if a power line to which a computer is connected is hit during an electrical storm. What is the probability of fai. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. Mathematics High School answered expert verified c) The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. For a device with a failure probability of 0.02 when subjected to a specific test environment, use the binomial distribution to calculate the probabilities that a test sample of 25 devices will con. What is the probability that the instrumen. A random sample of such 1500 components is taken. Kindly login to access the content at no cost. True or False. What is the probability that exactly 2 laptops are defective among them? If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? Copyright 2023 SolutionInn All Rights Reserved. An online laptop store sells 6 such computers. If the connector is ever wet, the probability of a failure during the warranty period is 4%. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? What is the probability that a sample of 4 of the 8 computers will not contain a defective computer? A computer has 100 electronic components. The number of power outages at Grenlec has a Poisson distribution with a mean of 6 outages per year. D' = electrical connector is not kept dry (i.e., is wet), F = connector fails during warranty period, F' = connector does not fail during warranty period. A company owns 400 laptops. % What is the reliability function? /Length 2408 If 90% of the connectors are kept dry and 10% are wet. Kindly login to access the content at no cost. Find the probability that a. Since 10% of the connectors are wet, the probability of a connector being wet and failing is 0.10 * 0.05 = 0.005 (0.5% of all connectors). The time to failure (in years) of a Cyclone 365 computer has the probability function f(t) = 1/(t + 1)^2, t \geq 0. a. A company owns 400 laptops. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? (a) What is the probability that a computer will fail within 12 months? If three of these computers are placed in parallel aboard the proposed space wha, Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components. If 8 components are randomly selected, find the following probabilities: 1. Find the probability that at least 1 machine out of 10 will fail. Find the probability that a sample of size 3 drawn from the 8, will not contain a defective computer. a) What is the probability that there wi. It is known that 5% of all laptops from a certain manufacturer have a certain defect. ScholarOn, 10685-B Hazelhurst Dr. # 25977, Houston, TX 77043,USA. You randomly select 20 laptops for your salespeople. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. What is the probability that the circuit will fail within the first 2,000 hours? Get 5 free video unlocks on our app with code GOMOBILE. a) What is the probability that a b, The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. b) Find the probability that, Laptop computers produced by a company have an average life of 38.36 months. {/eq}, Become a Study.com member to unlock this answer! It is known that for a laboratory computing system the number of system failures during a month has a Poisson distribution with a mean of 0.8. If the probability of failure for this device is independent of running time, find the probability that this device will no. ing lines form opposing angles. Suppose that warranty records for a car maker show that the probability that a new car needs a warranty repair in the first 90 days is 20 %.
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