You select 7 statistics students at random, with replacement. What is the probability that exactly 3 sleep on their backs?

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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Please see the picture below. Note that the answer for this problem is not uniform distribution. 

 

In a group of 60 statistics students, 31 sleep on their sides, 20 sleep on their stomachs, and 9 sleep on their backs.
You select 7 statistics students at random, with replacement. What is the probability that exactly 3 sleep on their
backs?
What distribution should you use to solve this?
A
Normal distribution, N(9,60)
Poisson distribution, P(0.15, 0.85)
Uniform distribution, U(0,1)
C
Binomial distribution, B(7,0.15)
Transcribed Image Text:In a group of 60 statistics students, 31 sleep on their sides, 20 sleep on their stomachs, and 9 sleep on their backs. You select 7 statistics students at random, with replacement. What is the probability that exactly 3 sleep on their backs? What distribution should you use to solve this? A Normal distribution, N(9,60) Poisson distribution, P(0.15, 0.85) Uniform distribution, U(0,1) C Binomial distribution, B(7,0.15)
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