Multiple Choice Questions on In a binomial distribution the mean is 2 3 and the variance is 5 9 What is the probability that 2 ........ for NDA Exam Preparation

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Multiple Choice Questions

In a binomial distribution the mean is 2 3 and the variance is 5 9 What is the probability that 2 ........

Mathematics (NDA) Probability
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    In a binomial distribution, the mean is 2 / 3 and the variance is 5 / 9 . What is the probability that = 2 ?

     5 / 36

    Incorrect Answer

     25 / 36

    Incorrect Answer

     25 / 216

    Correct Answer

    25 / 54

    Incorrect Answer
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    Explanation:

    Mean(np) = 2/3

    Variance(npq) = 5/9

    Therefore q = npq / np = 5/6

    p = 1 – q = 1/6 , n = 4

    P (x = 2) = 4C2 (1/6)2 × (5/6)2 = 25/216 

    By: Yachna
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