3) An engineer has developed a prototype for a new device which contains multiple components. The probability thatcomponent A does not fail is .95, the probability that component B does fail is .13, and the probability that bothcomponents do not fail is .84. Include the probability statements in terms of event A(component A does not fail) andevent B(component B does not fail), using the symbols U and n.a) What is the probability at least one component fails?b) What is the probability exactly one component fails?c) What is the probability that both components fail?d) What is the probability that component A fails or that component B does not fail?

Answered: 3) An engineer has developed a…

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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In a pastry shop in a small town, the probability that a customer buys apple tarts is0.45, the probability they buy an apple pie is 0.69 and the probability that they buy bothan apple tart and an apple pie is 0.27. A customer is chosen at random.i. Find the probability that they buy an apple tart or an apple pie. ii. Given that a customer buys an apple pie, what is the probability that they alsobuy an apple tart? b) The weight of a green forest frog has a normal distribution with mean 150.3 g and astandard deviation of 5g. Find the probability that a randomly selected frog weighsi. Less than 153g ii. Between 150 g and 158 g c) The random variable X is normally distributed such that X~N(?, 12). It is known that?(? > 32) = 0.0618. find the value of ?.
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