It is known that 40% of a certain company's washing machines require service while under warranty, whereas only 10% of its dryers need such service. If someone purchases both a washer and a dryer made by thiscompany, what is the probability that both machines need warranty service?Let A denote the event that the washer needs service while under warranty, and let B be defined analogously for the dryer. Then P(A) =machines function ---Select---and P(B) -. Assuming that the twov of one another, the desired probability isP(A N B) = P(A) · P(B) = (0.40)(0.10) = |

Answered: It is known that 40% of a certain…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that whether it rains in a certain city tomorrow depends on the weather conditions for today and yesterday. Climate data shows the following: If it rained yesterday and today, then it will rain tomorrow with probability 0.52. If it rained yesterday but not today, then it will rain tomorrow with probability 0.24. If it rained today but not yesterday, then it will rain tomorrow with probability 0.43. If it did not rain yesterday and today, then it will rain tomorrow with probability 0.34. Over the course of a year, about how many days in the city are rainy according to the model? The transition matrix for this Markov chain is given below. P= 0.52 0 0.43 0 0.48 0 0.57 0 0 0.24 0 0.34 0 0.76 0 0.66 O Over the course of a year, there are about rainy days. (Round to the nearest day as needed.)
5.Prove the following properties of probability: P(A) = 1-P(A). b. For any events A and B, P(AUB) = P(A) + P (B) – P(AB). -
A class in advanced physics is comprised of 20 juniors, 30 seniors and 10 graduate students. The final grades showed that 5 of the juniors, 12 of the seniors, and 6 of the graduate students received an A for the course. If a student from this class is selected and is found to have earned an A, what is the probability that he or she is a junior? Ans is Blank 1 (round off your final answer into four decimal places. #.####)
A company prices its tornado insurance using the following assumptions: • In any calendar year, there can be at most one tornado. • In any calendar year, the probability of a tornado is 0.07. • The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year. Using the company's assumptions, calculate the probability that there are fewer than 2 tornadoes in 15-year
The probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during a certain 30-minute period are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17, respectively. Find the probability that in this 30-minute period (a) more than 2 cars receive gas; (b) at most 4 cars receive gas; (C) 4 or more cars receive gas
From experience, a wheat farmer living in Manitoba, Canada finds that his annual profit (in Canadian dollars) is $80,000 if the summer weather is typical, $50,000 if the weather is unusually dry, and $20,000 if there is a severe storm that destroys much of his crop. Weather bureau records indicate that the probability is 0.70 of typical weather, 0.20 of unusually dry weather, and 0.10 of a severe storm. Let X denote the farmer's profit next year (a) Construct a table with the probability distribution of X. (b) What is the probability that the profit is $50,000 or less? (c) Find the mean of the probability distribution of X. Interpret. (d) Suppose the farmer buys insurance for $3000 that pays him $20,000 in the event of a severe storm that destroys much of the crop and pays nothing otherwise. Find the probability distribution of his profit. Find the mean and summarize the effect of buying this insurance.
USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisoners up for parole. Let x = number of prisoners out of five on parole who become repeat offenders. x 0 1 2 3 4 5 P(x) 0.229 0.360 0.224 0.169 0.017 0.001 a) Find the probability that one or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) b) Compute ?, the expected number of repeat offenders out of five. (Round your answer to three decimal places.)? = prisonersc) Compute ?, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.)? = prisoners

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