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For X ~ B(n, p) and P(X = x) = 8Cx(12)x(12)8-x, then state value of n and p

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Question

For X ~ B(n, p) and P(X = x) = `""^8"C"_x(1/2)^x (1/2)^(8 - x)`, then state value of n and p

Sum
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Solution

P(X = x) = `""^"n""C"_x"P"^x"q"^("n" - x)`

For X ~ B(n, p) and P(X = x) = `""^8"C"_x(1/2)^x (1/2)^(8 - x)`

Comparing with equation (i), we get

n = 8 and p = `1/2`

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Chapter 2.8: Binomial Distribution - Very Short Answers

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