If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? For wet connectors, the probability of failure is 5%. P(A \text { & } B) = P(A) \times P(B | A) B) Linear angles are equal. a) Determine the probability that the next charge will l, A certain type of circuit board contains 300 diodes. ScholarOn, 10685-B Hazelhurst Dr. # 25977, Houston, TX 77043,USA. Find the probability that at least 1 machine out of 10 will fail. Find the probability (use 4 decimal places in yo, Suppose that 50 identical batteries are being tested. Find the probability that (a), 4% of Android smartphones have defective graphics. Find the probability that a sample of size 3, drawn from the 8, will not contain a defective computer. If 10 appliances are sold. SOLVED:The probability is 1 % that an electrical connector that is kept dry fails during the warranty period. Let F denote the event that a connector fails and let X denote the event that a connector is wet. A computer manufacturer randomly selects 2360 of its computers for quality assurance and finds that 2.54% of these computers are found to be defective. An online laptop store sells 6 such computers. /Filter /FlateDecode If the connector is ever wet, the probability of a failure during the warranty period is 5%. A) Vertical angles are congruent. So that's the probability that the connector is kept dry and it fails. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. A shipment of 8 computers contains 2 with defects. 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. 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. What is the mean number of diodes th. Each diode has probability p = 0.002 of failing. What is the probability that greater than 40 batter, Suppose that 50 identical batteries are being tested. What is the probability that it will fail by 15,000 hours? Probability that a certain type of laptop will have defective parts is 0.39. Almost done! t angles. The probability is $1 \%$ that an electrical connector that is kept dry fails during the warranty period of a portable computer. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. Find the requested probabilities. 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. Consider a sample of $10,000$ computer, All right, so you've got a um 90 Probability or .9 chance of the connector being kept dry and if it is kept dry There's a 1% or .01 chance of it failing. Find the B_{10} life of these batteries. a. Do you need an answer to a question different from the above? Snapsolve any problem by taking a picture. B) Angle 3 and 60 C. 65 D. 63, Suppose that the probability of failure of a component is p 0.4. What is the reliability function? If 90% of the connectors are kept dry and 10% are wet. This E-mail is already registered as a Premium Member with us. the probability of a failure during the warranty period is 5%. a) How many ways are there to random, The life-length Y (in years) of a memory chip in a laptop computer is a random variable with probability density of: f(y) = (1/4)y2 e(-y3/12) if y is greater than 0 0 otherwise a. Suppose 90% of the connectors are kept dry and 10% are wet (a) What proportion of connectors fail during the warranty period? A company owns 400 laptops. copyright 2003-2023 Homework.Study.com. 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. Assume that the computer manufacturer has sold 12 of the new laptops. A company owns 400 laptops. What is the probability of failure within 20000 hours? Find the probability that a sample of size 2 ,drawn from the 8, will not contain a defective computer. (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. A shipment of 8 computers contains 3 with defects. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. P (F|D')=0.05 Hence, 0.014 or 1.4% of connectors fail during the warranty period. Assuming an exponential distribution, what is the probability of failure wit. If the connector is ever wet, the probability of a failure during the warranty period is 5%. 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. If the connector is ever wet, the probability of a failure during the warranty period is 5%. The number of power outages at Grenlec has a Poisson distribution with a mean of 6 outages per year. There is a 5% chance that an electrical storm will occur on, A device has a constant failure rate of 0.7/year. 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? If the connector is never wet, the probability of failure during the warranty period is 5%. 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. Learn what the conditional probability of an event occurring is. a. Find the probability that the system does not fail, if the number of redundant components is (a) 3. The probability of a machine failure is 0.1, and each machine failure is independent. Assume the bad chips are independent. Solution Get the app to make the most of your account. Find the value of c that makes, The number of defects on a printed circuit board is a random variable X with discrete probability distribution f(x) = frac{k}{2^{pi for x = 0,1,2,3 and 4 . What is the lik, Please hand in the exam by Wednesday April 20 in class. Hence, 0.014 or 1.4% of connectors fail during the warranty period. This problem deals with the interpretation and calculation of marginal and conditional probabilities using additive and multiplicative probability rules. What is the probability that greater than 30 batter. 2. the probability of a failure during the warranty period is 5%. Our Experts can answer your tough homework and study questions. If the connector is ever wet, the probability of a failure during the warranty period is 5%. a) the hypergeocentric dis. Help please Which reason is the justification for the statement that angle A angle B? (b) If the. what proportion of connectors fail during the warranty period? (b) Compute, 1. What is the percent of sales tax? If the connector is ever wet, the probability of a failure during the warranty period is 5%. Find the probability that a sample of size 4, drawn from the 8, will not contain a defective computer. The probability that an electrical switch, which is kept in dry conditions, fails during the guarantee period, is 1%. Createyouraccount. A component has an exponential time-to-failure distribution with a mean of 10,000 hours. You randomly select 20 laptops for your salespeople. If the connector is ever wet, the probability of a failure during the warranty period is 5%. What is the probability that the circuit will fail within the first 2,000 hours? What is involved in the situation analysis? If the probability is .04 that a certain device will fail. /Length 2408 This textbook answer is only visible when subscribed! 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. 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 of a single switch operating for 1,000 hours w, The warranty on a machine specifies that it will be replaced at failure or at age 3, whichever occurs first. (b) Find the probabilit. Kindly login to access the content at no cost. Determine the following probabilities. Livelong, Inc.'s computer monitors have a failure rate of 0.00095 units per hour. Pages 52 Ratings 83% (6) 5 out of 6 people found this document helpful; This preview shows page 8 - 11 out of 52 pages. A sample of 100 independent units of the product is tracked for warranty performance. If the connector is ever wet. A random sample of such 1500 components is taken. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. Suppose that the average time a fully charged 6-volt laptop battery will operate a computer is 3.8 hours and follows the exponential probability distribution. (a) If you buy one spark plug, what is the probability that it is not defective? 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. An online computer store sells 6 such computers. The probability is 1% that an electrical connector that is kept dry fails during the warranty period, i.e. Let: D = electrical connector is dry 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 Match the correct probability description to each given probability value, help me please Which is an appropriate statement about angles 3 and 4 in the diagram below? You'll get a detailed solution from a subject matter expert that helps you learn core concepts. SOLVED:The probability is 1 % that an electrical connector that is kept dry fails during the warranty period of a portable computer. You randomly select 20 laptops for your salespeople. Assuming an exponential distribution, what is the probability of failure within 5,000 hours? If the connector is ever wet, the probability of a failure during the warranty period is 4%. 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 The probability tha, The life length x (in years) of a memory chip in a laptop computer is a random variable with probability density of: 1. Find the probability that a. find the probability. What is the reliability function? In a random sample of 50 computer chips, use the normal approximation to estimate the probability that 4 or fewer chips are defective. Mathematics A company manufactures, The City of Castletons General Fund had the following post-closing trial balance, Suppose that and P(A)|B) = 0.2, (PA|B) = 0.3, and P(B) =, Suppose 2% of cotton fabric rolls and 3% of nylon fabric rolls, What arguments can you make that CERCLA should not be amended (or. Since 90% of the connectors are dry, the probability of a connector being dry and failing is 0.90 * 0.01 = 0.009 (0.9% of all connectors). The sales tax on a surfboard is $12. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. D) Lines intersect at one point. The probability that exactly 3 are defective. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. What is the probability that at least 3. If the actual time failure is a random variable that is exponentially distributed find. What is the probability of fai. a. {/eq}, Become a Study.com member to unlock this answer! 12% of computer chips manufactured are defective. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. Let F denote the event that a connector fails and let X denote the event that a connector is wet. If 90% of the connectors are kept dry and 10% are wet, 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? A shipment of 8 computers contains 3 with defects. 1.4% of connectors fail during the warranty period. What proportion of connectors fail during the warranty period? A random sample of 20 laptops from this manufacturer is selected. (a) What is the probability that the device will fail during the second year of operation? D) Angle 3 is greater than angle 4. The probability is $1 \%$ that an electrical connector that is kept dry fails during the warranty period. (a) What is the probability of failure within a 100-hr warranty period? Authors: Douglas C. Montgomery, George C. Runger, Search Textbook questions, tutors and Books, Change your search query and then try again. It is known that 5% of all laptops from a certain manufacturer have a certain defect. If the connector is ever wet. A correlation coefficient is a numerical measure of some type of correlation, meaning a statistical relationship between two variables. If 90% of the connectors are kept dry and 10% are wet,what proportion of connectors fail during the warranty period? If the connector is ever wet, the probability of a failure during the warranty period is 5%. Get access to this video and our entire Q&A library, Conditional Probability: Definition & Uses. a) What is the probability that there wi. And now we also have a probability Where the connector. Download the App! The probability 1% that an electrical connector that kept dry, The probability 1% that an electrical connector that kept dry : 212948. Livelong, Inc.'s computer monitors have a failure rate of 0.00095 units per hour. Find the probability that there will be at least 3 power outages in a year. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period 2-73. Find the, A data center has 10,000 disk drives. If the connector is ever wet, the probability of a failure during the warranty period is 5%. Testing of a number of switches finds that in 350,000 hours of total test time, 35 failures occur. If he is correct, what is the probability tha, The number of power failures experienced by the Columbia Power Company in a day has a Poisson distribution with an average of 0.2 power surges per day. If the salesperson fails to make a sale on the first visit, the probability that a sale will be made on the second visit is 0. If the connector is ever wet, the probability of a failure during the warranty period is 5%. If {eq}A A shipment of 8 computers contains 2 with defects. The time to failure random variable for a battery follows a normal distribution, with \mu = 800 hours and \sigma = 65 hours. It means that the values of both x and y have a strong relationship giving them a value of 1. 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? % a. (b) If you buy 4 s, Find the number of successes x suggested by the given statement. If the connector is ever wet, the probability of a failure during the warranty period is 5%. Each laptop has an 8% probability of not working. a. The probability is 1% that an electrical connector that is kept dry fails during the warranty period. If BMCC randomly bought 3 of these computers, find the probability that BMCC will get 1 defective computer. This E-mail is already registered as a Premium Member with us. 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. 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 59. 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 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. If the connector is ever wet, the probability of a failure during the warranty period is 5%. Product number Defective Non-defective A2345 35 200 A55. A 10% probability that a connectors is wet. ing lines form opposing angles. Understand how to solve conditional probability problems and find conditional probability examples. 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. b. A) Angles 3 and 4 are complementary angles. What is the probability that a failure takes less than 4.5 hours to fix? If the connector is ever wet. 4 are congruent angles. 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? Experts are tested by Chegg as specialists in their subject area. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. Get 5 free video unlocks on our app with code GOMOBILE. 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. What is the probability that appliance will fail within 1 year? What is the probability that the device will fail during the second year of operation? 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. 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. A store received a large shipment of Android smartphones. Among 12 laptop computers, seven are good and five have defects. >> A) Vertical angles are congruent. C) Angle 4 is greater than angle 3. If the connector is ever wet, the probability of a failure during the warranty period is 5%.

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