Question

For days i = 1, 2, 3 , now have: Xi ~ Poisson(λi) and also assume...

For days i = 1, 2, 3 , now have: Xi ~ Poisson(λi) and also assume the Xi ‘s are independent.For days i = 1, 2, 3 , now have: Xi ~ Poisson(λi) and also assume the Xi ‘s are independent.

(a) What’s P(total number of occurrences over these 3 days = 8) (in terms of the λi ‘s)

(b) Also, suppose that no matter the i, that P(any particular occurrence is of type A) = ¼, otherwise it is of type B. What’s P(total number of type A occurrences over the 3 days = 6 and total number of type B occurrences over the 3 days = 8)?

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