(a) Explanation Given: The mean μ of the random variable is 45 and the standard deviation σ is 3 . Concept: The probability associated with the distribution x = b is shown below. P ( X < b ) = P ( Z < b − μ σ ) … … ( 1 ) Calculation: Consider X as the normal random variable. To obtain the probability P ( X ≤ 50 ) , substitute 50 for b , 45 for μ and 3 for σ in equation ( 1 ) as follows (b) To determine The value of the probability P ( X ≥ 40 ) . (c) To determine The value of probability P ( 40 ≤ X ≤ 50 ) .

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 10, Problem 24RE

(a)

To determine

The value of probability P(X≤50).

(b)

To determine

The value of the probability P(X≥40).

(c)

To determine

The value of probability P(40≤X≤50).

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Chapter 10, Problem 23RE

Chapter 10, Problem 25RE

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Chapter 10 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

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The value of probability P ( X ≤ 50 ) .

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The value of probability P(X≤50).

The value of the probability P(X≥40).

The value of probability P(40≤X≤50).

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Chapter 10 Solutions