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=14), n=19, p=0.6
Solution
Given that ,
p = 0.6
q = 1 - p = 1 - 0.6=0.4
n = 19
Using binomial probability formula ,
P(X = x) = (n C x) * p x * (1 - p)n - x
P(X = 14) = (19 C 14) * 0.6 14 * (0.4)19 - 14
PROBABILITY=0.0933
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