Let X and Y be two random variables such that X+Y=100. If X follows Binomial distribution with parameters n=100 and p= 4 5 , what is the variance of Y?

NDA 2023 Mathematics question

Let and be two random variables such that . If follows Binomial distribution with parameters and , what is the variance of ?

Answer: (C)

, and . $Var(X) =

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Question ID VK-029636