SOLUTION: Find the probability of exactly k successes in n repeated Bernoulli trials where the probability of success is p. (Round your answer to six decimal places.) n = 6, k = 4, p = 0.2

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Question 1204062: Find the probability of exactly k successes in n repeated Bernoulli trials where the probability of success is p. (Round your answer to six decimal places.)
n = 6, k = 4, p = 0.2
Answer by MathLover1(20849) About Me  (Show Source):
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The number of trials is n+=+6
The probability of success is +p+=+0.2
the number of successes in a fixed number of trials is k+=+4
The probability that the random variable has exactly 4 successes is

P%28k=4%29=C%28n%2Ck%29%2Ap%5Ek%2A%281-p%29%5E%28n-k%29
P%28k=4%29=C%286%2C4%29%2A0.2%5E4%2A%281-0.2%29%5E%286-4%29
P%28k=4%29=C%286%2C4%29%2A0.2%5E4%2A%280.8%29%5E2
P%28k=4%29=15%2A0.0016%2A0.64
P%28k=4%29=0.015360