When a student is randomly selected (with replacement), there is a 0.18 probability that this person is taking a math class. We want to select 4 students at random. Answer the following parts: a) Does this procedure result in a binomial distribution? (check all 4 requirement) b) Create a table for the probability distribution. c) What is the probability that exactly 3 of the students is taking a math class?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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  1. When a student is randomly selected (with replacement), there is a 0.18 probability that this person is taking a math class. We want to select 4 students at random. Answer the following parts:

a) Does this procedure result in a binomial distribution? (check all 4 requirement)

b) Create a table for the probability distribution.

c) What is the probability that exactly 3 of the students is taking a math class?

d) What is the probability that the number of students taking a math class is at least 2?

e) Find the mean and standard deviation then use the significantly low rule of thumb to see if the probability of students having a math class is 0.5 significantly low.

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