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Suppose the probability that Jimmy gets a hit on a given at-bat is 1⁄4. Let X denote the number of hits Jimmy gets in four-at-bats. (a) Making the assumptions to be stated by you, obtain the probability distribution of X (that is, compute P(X = 0), P(X = 1), P(X = 2), P(X = 3), and P(X = 4)). (b) Compute μ (the mean of the probability distribution of X) and σ (the standard deviation of the probability distribution of X). (c) Find P(X > μ + σ).

Suppose the probability that Jimmy gets a hit on a given at-bat is 1⁄4. Let X denote the number of hits Jimmy gets in four-at-bats. (a) Making the assumptions to be stated by you, obtain the probability distribution of X (that is, compute P(X = 0), P(X = 1), P(X = 2), P(X = 3), and P(X = 4)). (b) Compute μ (the mean of the probability distribution of X) and σ (the standard deviation of the probability distribution of X). (c) Find P(X > μ + σ).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 26E
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Suppose the probability that Jimmy gets a hit on a given at-bat is 1⁄4. Let X denote the number of hits Jimmy gets in four-at-bats. (a) Making the assumptions to be stated by you, obtain the probability distribution of X (that is, compute P(X = 0), P(X = 1), P(X = 2), P(X = 3), and P(X = 4)). (b) Compute μ (the mean of the probability distribution of X) and σ (the standard deviation of the probability distribution of X). (c) Find P(X > μ + σ).

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