Question

Assume that a procedure yields a binomial distribution with a trial repeated n times. use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. round to three decimal places. n = 30, x = 5, p = 1/5

Answer 1

$P(5\ successes)=30C5\times(\frac{1}{5})^{5}\times(\frac{4}{5})^{25}=0.172$