Let X be a discrete random variable that follows a binomial distribution with n = 11 and probability of success p = 0.31.
What is P(X=2)?
Round your response to at least 3 decimal places.
Solution
Given that ,
p = 0.31
1 - p = 1 - 0.31 = 0.69
n = 11
Using binomial probability formula ,
P(X = x) = (n C x) * px * (1 - p)n - x
P(X = 2 ) = (11C 2) * (0.31)2 * (0.69)9
= 0.18738
Probability = 0.187
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