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Suppose that two teams play a series of games that ends when one of them has won 3 games. Suppose that each game played is, i

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Answer #1

a)
Here, n = 5, p = 0.8, (1 - p) = 0.2 and x = 4
As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)

We need to calculate P(X = 4)
P(X = 4) = 5C4 * 0.8^4 * 0.2^1
P(X = 4) = 0.4096

b)
n = 5 , p =0.8

mean = np
= 5* 0.8
= 4

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