A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11 students in the class is selected. Let X = the number of the selected students who are female. a. What is the expected value of X? b. What is the standard deviation of X? c. What is the probability that X is within 2.0 standard deviations of its expected value?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11 students in the class is selected. Let X = the number of the selected students who are female.

a. What is the expected value of X?

b. What is the standard deviation of X?

c. What is the probability that X is within 2.0 standard deviations of its expected value?

d. What is the probability that X = 1.5?

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