For a binomial distribution with a sample size equal to 10 and a probability of

Question

For a binomial distribution with a sample size equal to 10 and a probability of a success equal to 0.73, what is the probability that the sample will contain exactly four successes? Use the binomial formula to determine the probability. Round to four decimal places as needed. For a binomial distribution with a sample size equal to 10 and a probability of a success equal to 0.73, what is the probability that the sample will contain exactly four successes? Use the binomial formula to determine the probability. Round to four decimal places as needed.

Explanation / Answer

X ~ Binomial ( n , p)

Where n = 10, p = 0.73

P(X) = nCx * px * (1-p)n-x

P(X = 4) = 10C4 0.734 0.276

= 0.0231

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