Let Y1, Y2,..., Yn be independent binomial random variable with ni trials and
Chapter 6, Problem 6.53(choose chapter or problem)
Let Y1, Y2,..., Yn be independent binomial random variable with ni trials and probability of success given by pi, i = 1, 2,..., n. a If all of the nis are equal and all of the ps are equal, find the distribution of n i=1 Yi . b If all of the nis are different and all of the ps are equal, find the distribution of n i=1 Yi . c If all of the nis are different and all of the ps are equal, find the conditional distribution Y1 given n i=1 Yi = m. d If all of the nis are different and all of the ps are equal, find the conditional distribution Y1 + Y2 given n i=1 Yi = m. e If all of the ps are different, does the method of moment-generating functions work well to find the distribution of n i=1 Yi ? Why?
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer