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. n =12, x= 5, p=0.25?

Answer 1

x = random variable = number of successful trials = 4

n = number of trials = 6

P = likelihood of success = 0.55

Q = likelihood of failure = 0.45

nCx = number of combinations of n objects taken x at a time

.

Binomial Distribution

b(x; n, P) = nCx * P^x * Q^(n - x)

.

b(4; 6, 0.55) = 6C4 * (0.55)^4 * (0.45)^2 = (15)(0.09150625)(0.2025) = 0.2779502