Question

Assume that a procedure yields a binomial distribution with a trial repeated n=6 times. Find the probability of x≥4 successes given the probability p=0.66 of success on a single trial.

(Report answer accurate to 3 decimal places.)

P(x≥4) =

Answer 1

The population proportion of success is p = 0.66 , also, 1 - p = 1 - 0.66 = 0.34 , and the sample size is n= 6 . We need to compute

Therefore, we get that

This implies that

which means that the probability we are looking for is