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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 6 , what is the variance of Y ?

Options

  1. A1
  2. B1 2
  3. C16
  4. D1 16

Correct answer

C. 16

Step-by-step solution

var (X)=n p q=100 4 5 1 5 =16 var (Y)= var (100-X)= var (X)=16

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