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Chapter 6_1_21

# Chapter 6_1_21 - 0.62 1 1.6273 1.388795 4.0369 2.648105...

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#21 a) is a discrete probability distribution; ∑ P(x) = 1; 0 ≤ P(x) ≤ 1 b) Probability of HIts for Ichiro Suzuki 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0 1 2 3 4 5 Number of Hits per Game Probability x P(x) µ = x*P(x) σ^2 x^2 x^2*P(x) 0 0.1677 0 0.444087 0 0 1 0.3354 0.3354 0.131982 1 0.3354 2 0.2857 0.5714 0.039685 4 1.1428 3 0.1491 0.4473 0.28095 9 1.3419 4 0.0373 0.1492 0.209988 16 0.5968 5 0.0248 0.124 0.282103 25
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Unformatted text preview: 0.62 1 1.6273 1.388795 4.0369 2.648105 1.178471 1.388795 1.178471 c) µ = 1.6273 Over many games, the average number of hits for Ichiro is expected to be 1.6 d) σ = √ ∑ [x² · P(x)] - µ² ≈ 1.179 e) P(2) = 0.2857 f) P(>1) = 1- P(≤ 1) = 1- P(0 or 1) = 1- (0.1677 + 0.3354) = 0.4969...
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