Explanation Given: The number of young adults selected n = 1000 The probability of success on a single trial p = 0.15 Formula used: The expression for the mean and the standard deviation for binomial distribution is: μ = n p σ = n p ( 1 − p ) The z -score for any value x : z = x − μ σ Here, μ is the mean, σ is the standard deviation, n is the number of trials and p is the probability of success on a single trial Calculation: Use the formula of mean, standard deviation and z -score. Substitute 1000 for n and 0.15 for p as: μ = n p = 1000 ( 0.15 ) = 150 σ = n p ( 1 − p ) = 1000 ( 0.15 ) ( 1 − 0.15 ) ≃ 11.3 Therefore, μ = 150 and σ = 11

Pearson eText for Mathematics with Applications In the Management, Natural, and Social Sciences -- Instant Access (Pearson+)

12th Edition

ISBN: 9780137504381

Author: Margaret Lial, Thomas Hungerford

Publisher: PEARSON+

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Estimation

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Chapter 10, Problem 52RE

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To calculate: The probabilitybetween 120 and 130 (inclusive) young adults live in their parents’ home, while a random sample of 1000 adults are considered.

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Chapter 10, Problem 51RE

Chapter 10, Problem 53RE

Chapter 10 Solutions

Pearson eText for Mathematics with Applications In the Management, Natural, and Social Sciences -- Instant Access (Pearson+)

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The probabilitybetween 120 and 130 (inclusive) young adults live in their parents’ home, while a random sample of 1000 adults are considered.

Solution Summary: The author calculates the probability between 120 and 130 (inclusive) young adults live in their parents' home, while a random sample of 1000 adults are considered.

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To calculate: The probabilitybetween 120 and 130 (inclusive) young adults live in their parents’ home, while a random sample of 1000 adults are considered.

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Chapter 10 Solutions