Suppose 22% of students at a certain university are out of state students. A professor takes a random sample of 50 students. Let X = the number of out of state students in the sample. a. how many students are expected to be out of state? by how much does this vary? b. what is the probability that 10 will be out of state? c. what is the probability that 10 or fewer will be out of state? d. what is the probability that fewer than 10 will be out of state?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose 22% of students at a certain university are out of state students. A professor takes a random sample of 50 students. Let X = the number of out of state students in the sample.

a. how many students are expected to be out of state? by how much does this vary?

b. what is the probability that 10 will be out of state?

c. what is the probability that 10 or fewer will be out of state?

d. what is the probability that fewer than 10 will be out of state? 

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