Question: The number of defective components produced by a certain process in one day has a Poisson distribution with mean 20. Each defective component has probability

The number of defective components produced by a certain process in one day has a Poisson with mean 20. Each defective component has probability 0.60 of being repairable.
a. Find the probability that exactly 15 defective components are produced.
b. Given that exactly 15 defective components are produced, find the probability that exactly 10 of them are repairable.
c. Let N be the number of defective components produced, and let X be the number of them that are repairable. Given the value of N, what is the of X?
d. Find the probability that exactly 15 defective components are produced, with exactly 10 of them being repairable.

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