Answer to Question #328612 in Statistics and Probability for Sevi

Question

1. A system is tested for faults once per hour. If there is no fault, none

will be detected. If there is a fault, the probability is 0.8 that it will be detected. The

tests are independent of one another.

a) If there is a fault, what is the probability that it will be detected in 1 hour or less?

b) If there is a fault, what is the probability that it will be detected in 3 hours or

less?

c) What is the mean number of tests that must be conducted in order to detect a

fault?

2. The number of hits on a website follows a Poisson process with a

rate of 3 per minute.

a) What is the probability that more than a minute goes by without a hit?

b) If 2 minutes have gone by without a hit, what is the probability that a hit will

occur in the next minute?

Answer 1

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