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Unformatted text preview: λ = , and so we get 2
8 e−2
4
λ = 2, and so P ( X = 3) =
= 2 6
3e 6. An archer hits the target on 60% of his shots. Let X equal the number of times the archer hits the target in 20 shots. 2
(a). Determine the mean and variance of X. µ = 12 σ = 4.8 (Reduce to decimals) Solution: µ = np = 20 × 0.6 = 12, σ 2 = npq = 12 × 0.4 = 4.8 (b). P( X = 9) = (exact value – don’t simplify) Solution: ⎛ 20⎞
9
11
P ( X = 9 ) = ⎜ ⎟ ( 0.6 ) ( 0.4) ⎝ 9⎠ Name ________________________
March 7, 2013
7. (a). A box contain...
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 Spring '13
 Sumner
 Math, Probability

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