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
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
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