Question

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.

P(X=4), n=6, p=0.3

Answer 1

P(4) Probability of exactly 4 successes

If using a calculator, you can enter trials=6 p=0.3, and X=4 into a binomial probability distribution function (PDF). If doing this by hand, apply the binomial probability formula:

where n is the number of trials, p is the probability of success on a single trial, and X is the number of successes. Substituting in values for this problem, n=6, p=0.3, and X=4

P(4)=0.059535