In a binomial distribution, n = 5 and π=0.32π=0.32 . Find the probabilities of the following events. (Round your answers to 4 decimal places.) |
a. | x=2x=2 |
Solution :
Given that ,
p = 0.32
1 - p = 1 -0.32 = 0.68
n = 5
X = 2
Using binomial probability formula ,
P(X = x) = ((n! / (n - x)!) * px * (1 - p)n - x
P(X = 2) = ( (5! / (5 - 2)!) * 0.322 * 0.685 - 2
= 0.3220
Probability = 0.3220
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