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 male undergraduates on debt. X = 1 Represents that male undergraduates does not on debt. X = 0 Therefore the random variable is binomially distributed. According to the study 39% of male undergraduates on debt hence P ( X = 1 ) = 39 % p = 39 ( 1 100 ) p = 0

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Author: Lial

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Estimation

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Chapter 10.4, Problem 58E

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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 57E

Chapter 10.4, Problem 59E

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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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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 Solutions