14111cwir8ws.2

# 14111cwir8ws.2 - that she will be stopped by at least one...

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4. In a home theater system, the probability that the video component needs repair within 1 year is 0 . 02, the probability that the electronic component needs repair within 1 year is 0 . 03, and the probability that the audio component needs repair within 1 year is 0 . 01. Assuming the probabilities are independent, what is the probability that exactly two components will need repair within 1 year. 5. Unfortunately, two lights have been added to Mrs. Kilmer’s commute to work. After a few weeks of collecting data, she has determined that the probability that she will be stopped by the light at 2818 and Holleman is 0 . 2857 whereas the probability that she will be stopped by the light at 2818 and Luther is 0 . 0476. Assuming these events are independent, what is the probability
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Unformatted text preview: that she will be stopped by at least one of the two lights on her drive to work tomorrow morning? 6. A particular rocket assembly depends on two components, A and B. If either is working properly, the assembly will function, whereas if both fail, the assembly will not function. Assume that the functioning of either componenet is independent of the other, that the probability of failure of A is 0 . 002, and that the probability of failure of B is 0 . 01. (a) What is the probability that both components will fail simultaneously? (b) What is the probability that at least one of the components is working properly? (c) What is the probability that one component will be functioning properly and one will not? 2...
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## This note was uploaded on 03/04/2012 for the course MATH 141 taught by Professor Jillzarestky during the Fall '08 term at Texas A&M.

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