Probability 5 Question 12

12. If the mean and the variance of a binomial variate X are 2 and 1 respectively, then the probability that X takes a value greater than one is equal to… .

(1991, 2M)

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Answer:

Correct Answer: 12. 1116

Solution:

  1. For Binomial distribution, mean =np

and variance =npq

np=2 and npq=1 [given] q=1/2 and p+q=1p=1/2n=4,p=q=1/2 Now, P(X>1)=1P(X=0)+P(X=1)=14C01201244C1121123=1116416=1116



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