Question 1025442: a random experiment ws conducted on a fair coin, where it was flipped 15 times and you are only interested in getting 5 heads out of 15 experimental.
(a) is this negative binomial?
(b) if it is a negative binomial calculate the probability f(X=15)? if it is not a binomial experiment , state under what condition it could be negative binomial experiment
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! (a) No, it is not negative binomial,
(b) For the experiment to have a negative binomial distribution, one should be asking about the probability that the 5th head will turn up in the 15th throw, unlike the hypothesis wherein the five heads might appear anywhere in the 15 flips. (This means the 4 heads must be distributed in the 14 flips, while the 5th head turns up in the 15th flip.)
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