A binomial probability experiment is conducted with the give

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. N = 10,p=0.3,x = 5 P(5)= D (Do not round until the final answer. Then round to four decimal places as needed.)

Solution

P(5) = nCx * (p)^x * (1 - p)^(n - x)

P(5) = (10C5) * (0.3)^5 * (1 - 0.3)^(10 - 5)

P(5) = 252 * 0.00243 * 0.16807

P(5) = 0.1029193452

P(5) = 0.1029 ---> ANSWER