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.)
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 0.05.• 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 4 tornadoes in a 20-year period.
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 0.08.• 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 4 tornadoes in a 22-year period.
Consider randomly selecting a student at a certain university, and let V = the event that the selected individual has a Visa credit card and let M = the event that the selected individual has a Mastercard. Suppose that P(V) = 0.65, P(M) = 0.43, and P(V and M) = 0.25 a. Find the probability that the selected individual has a Mastercard or Visa. b. Find the probability that the selected individual does not have a Visa.
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
A company prices it's 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 0.15 The number of tornadoes in any calendar year is independent of the number of tornadoes in any other calendar year using the companies assumptions calculate the possibilities that there are fewer than 2 tornadoes in a 20 year.
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 0.08.• 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 4 tornadoes in a 21-year period.
Determine which of the following statements about probability are true and false.
Suppose a neighborhood grocery store buys 5 containers of skim milk at the wholesale price of $11 per container and sells it for $22 per container. After the expiration date, unsold milk is removed from the shelves and the grocer receives a credit from the distributor equal to three-fourths of the wholesale price. If the probability distribution of the variable is X and the number of containers sold from this lot is x f(x) 0 1/15 1 2/15 2 2/15 3 3/15 4 4/15 5 3/15 Calculate the expected utility. (Round to two decimal places)
For customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured in the U.S., B be the event that the refrigerator had an icemaker, and C be the event that the customer purchased an extended warranty. Relevant probabilities are below. P(A) = 0.74 P(B | A) = 0.85 P(B | A') = 0.82 P(C | A ∩ B) = 0.76 P(C | A ∩ B') = 0.55 P(C | A' ∩ B) = 0.75 P(C | A' ∩ B') = 0.25 (a) Construct a tree diagram consisting of first-, second-, and third-generation branches and place an event label and appropriate probability next to each branch. (b) Compute P(A ∩ B ∩ C). (Round your answer to four decimal places.)(c) Compute P(B ∩ C). (Round your answer to four decimal places.)(d) Compute P(C). (Round your answer to four decimal places.)(e) Compute P(A | B ∩ C), the probability of a U.S. purchase given that an icemaker and extended warranty are also purchased. (Round your answer to four decimal places.)
There are 3 machines in a factory that perform all production. Let this independently be working with probabilities 0.8, 0.9, and 0.95.a. Find the probability distribution for this if defined as the number of machines running at any one time.b. According to the maintenance agreement made by the factory, the repair price of a machine is fixed at 500 TL. When maintenance service is given to repair the damaged machines at any time, each one of them is maintained for 50 TL. In this case, how much is this maintenance agreement expected to cost to the factory?

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