Question

Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use some form of technology to find the probability distribution given the probability p=0.687 of success on a single trial.

Answer 1

(s + f)^5

s^5 + 5 s^4 f + 10 s^3 f^2 +
... 10 s^2 f^3 + 5 s f^4 + f^5

s = p(success) = .687

f = p(failure) = 1 - p(success) = .313