Suppose in UMKC 38% of the students live in apartments, and 200 students are randomly selected. Let X be the number of students living in apartments out of those 200 students. a). Is X a binomial random variable? Justify. If yes, identify n and p. b). Compute the mean and standard deviation of X. c). d). Are the conditions of Normal approximation to the binomial satisfied for this study? What is the normal distribution by which X is approximated? e). Approximately what is the probability that the number of students living in apartments out of those 200 students will be between 50 and 75 inclusive.

Suppose in UMKC 38% of the students live in apartments, and 200 students are randomly selected. Let X be the number of students living in apartments out of those 200 students. a). Is X a binomial random variable? Justify. If yes, identify n and p. b). Compute the mean and standard deviation of X. c). d). Are the conditions of Normal approximation to the binomial satisfied for this study? What is the normal distribution by which X is approximated? e). Approximately what is the probability that the number of students living in apartments out of those 200 students will be between 50 and 75 inclusive.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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