SOLUTION: Assume that a procedure yields a binomial distribution with a trial repeated n = 30 times. Use the binomial probability formula to find the probability of x = 5 successes given the

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Question 1195439: Assume that a procedure yields a binomial distribution with a trial repeated n = 30 times. Use the binomial probability formula to find the probability of x = 5 successes given the probability p = 1/4 of success on a single trial. Round to three decimal places.
0.407
1.01
0.1047
0.172

Answer by ikleyn(52803) About Me  (Show Source):
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Assume that a procedure yields a binomial distribution with a trial repeated n = 30 times.
Use the binomial probability formula to find the probability of x = 5 successes
given the probability p = 1/4 of success on a single trial. Round to three decimal places.
0.407
1.01
0.1047
0.172
~~~~~~~~~~~~~~~~ 

P = P(n=30, k=5, p=1/4) = C%5B30%5D%5E5%2A0.25%5Ek%2A%281-0.25%29%5E%2830-5%29 = %28%2830%2A29%2A28%2A27%2A26%29%2F%281%2A2%2A3%2A4%2A5%29%29%2A0.25%5E5%2A0.75%5E25 = 0.104728475 = 0.1047.

Solved.