In: Statistics and Probability
The occurrence of unplanned shutdown in a manufacturing
industry can be considered as a Poisson process....
The occurrence of unplanned shutdown in a manufacturing
industry can be considered as a Poisson process. On average, eight
shutdown occurs per year.
(a) Calculate the probability that
• the first shutdown occurs during the first quarter;
• more than one shutdown occurs during the first half of the
year.
(b) Calculate the conditional probability that the second
shutdown will occur during the first half of the year if the first
shutdown occurred during the first quarter of the year.