this is an example taken from class learning Uniform Probabi

**this is an example taken from class learning Uniform Probability Distribution

The number of defective circuit boards coming off a soldering machine follows a Poisson distribution. During a specific eight-hour day, one defective circuit board was found.

(a)What is the probability that it was produced during the first hour of operation during that day?

(b)What is the probability that it was produced during the last hour of operation during that day?

(c)Given that no defective circuit boards were produced during the first four hours of operation, find the probability that the defective board was manufactured during the fifth hour.

(d)Let Y denote the length of time (in hours) before the defective circuit board was produced. What are the mean and variance of Y?

Solution