Explanation Given: According to the report 44% of female undergraduates and 39% of male undergraduates take on debt. Formula Used: For the binomial distribution, the mean is as follows: μ = n p For the binomial distribution, the standard deviation is: σ = n p ( 1 − p ) Here, n is the number of trials and p is the probability of success on a single trial. Calculation: Consider X be the random variable defined by: Represents that female undergraduates on debt. X = 1 Represents that female undergraduates does not on debt. X = 0 Therefore, the random variable is binomially distributed: According to the study 44% of female undergraduates on debt hence P ( X = 1 ) = 44 % p = 44 ( 1 100 ) p = 0

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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Chapter 10.4, Problem 57E

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To calculate: The mean and standard deviation for the number of female undergraduates who take on debt while 75 females are considered at random.

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Chapter 10.4, Problem 56E

Chapter 10.4, Problem 58E

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

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The mean and standard deviation for the number of female undergraduates who take on debt while 75 females are considered at random.

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Chapter 10 Solutions