Assume that a procedure yields a binomial distribution with a trial repeated n = 12 times. Find the probability of x = 7 successes given the probability p = 0.53 of success on a single trial.

Question

(Report answer accurate to 4 decimal places.) P ( 7 ) =

Answer 1

There are two ways to solve this. The formula is P(x) = C(n,x) p^x(1-p)^n-x

Thus, P(7) = C(12,7).53⁷.47⁵ = .2134

Alternatively, in Excel, you can use =BINOMDIST(7,12,0.53,0)

Many calculators will have the same capability.