How do I do this? 1. When a particular baseball players come to the plate, he...

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Question

How do I do this? 1. When a particular baseball players come to the plate, he has a % chance of getting a hit. During one particular game, the

math Statistics-And-Probability

Answer 1

Answer #1

Let X be the number of hit in his 3 bats. Then X ~ Binomial(n = 3, p = 1/3)

A.

Probability that the player gets exactly 1 hit in 3 bats = P(X = 1) = ³C₁ * (1/3)¹ * (1 - 1/3)^3-1

= 3 * (1/3) * (2/3)²

= 0.4444

B.

Probability that the player gets at least 1 hit = P(X $\ge$ 1) = 1 - P(X = 0)

= 1 - ³C₀ * (1/3)⁰ * (1 - 1/3)^3-0

= 1 - (2/3)³

= 0.7037

C.

Probability that the player has two hits in his first two at bats = (1/3) * (1/3) = 1/9

Answer 2

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