Q4 of 99 Page 33

Find the binomial distribution when the sum of its mean and variance for 5 trials is 4.8.

Given that,


n = 5


Also, Mean+ Variance = 4.8


⇒np + npq = 4.8


⇒np(1+q) = 4.8


⇒5p(1+q) = 4.8


⇒5(1 - q)(1+q) = 4.8 [Since, p + q = 1]


⇒5(1 - q2) = 4.8









The required binomial distribution is given by,



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