73% of college students prefer in-class learning to online learning. Suppose we randomly select 100 college students and ask them about their in-class vs. online preference. Let X be the number of these students who prefer in-class learning. Let p = the probability of a particular single student preferring in-class learning. a. What is the probability that X is within 2.0 standard deviations of its expected value? b. What is the expected value of 0.73X? c. What is the standard deviation of X - 5 ? d. What is the variance of 0.73X?

73% of college students prefer in-class learning to online learning. Suppose we randomly select 100 college students and ask them about their in-class vs. online preference. Let X be the number of these students who prefer in-class learning. Let p = the probability of a particular single student preferring in-class learning. a. What is the probability that X is within 2.0 standard deviations of its expected value? b. What is the expected value of 0.73X? c. What is the standard deviation of X - 5 ? d. What is the variance of 0.73X?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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