Question

Assume that a procedure yields a binomial distribution with a trial repeated n times. find the probability of x successes given the probability p of success on a single trial. Round to three decimal places.
n = 30 x = 12, p = .20

Answer 1

formula is
\[\dbinom{n}{k}p^k(1-p)^{n-k}\]

Answer 2

in your case \(n=30,k=12,n-k=18,p=.2,1-p=.8\)

Answer 3

so you need to compute
\[\binom{30}{12}(.2)^{12}\times (.8)^{18}\]

Answer 4

thanks

Answer 5

yw