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Let X ~ B(n, p). If n = 10 and E(X) = 5, using the following activity find p and Var(X) Solution: E(X) = □=5□p=□,q=□ Var(X) = □ - Mathematics and Statistics

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Question

Let X ~ B(n, p). If n = 10 and E(X) = 5, using the following activity find p and Var(X)

Solution: E(X) = `square = 5 square "p" = square, "q" = square`

Var(X) = `square`

Fill in the Blanks
Sum

Solution

E(X) = np= 5

∴ 10p = 5

p = `1/2`, q = `1/2`

Var(X) = npq

= `10 xx 1/2xx 1/2`

= 25

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Variance of Binomial Distribution (P.M.F.)
  Is there an error in this question or solution?
Chapter 2.8: Probability Distributions - Q.6

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