3) Dustins barber shop in Oakland has five chairs for waiting customers. The number of customers waiting is a random variable Y with the following probability distribution. Y P(Y) 0.424 1 0.161 2 0.134 3 0.111 4 0.093 0.077 A) Does this table satisfy the requirements for the probability distribution? B) Compute the expected value of Y (the mean).

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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3) Dustins barber shop in Oakland has five chairs
for waiting customers. The number of customers
waiting is a random variable Y with the following
probability distribution.
P(Y)
0.424
1
0.161
2
0.134
3
0.111
0.093
0.077
A) Does this table satisfy the requirements for
the probability distribution?
B) Compute the expected value of Y (the mean).
C) In a large number of independent
observations, how many customers will be
waiting on average?
D) Find the standard deviation of this
distribution?
Transcribed Image Text:3) Dustins barber shop in Oakland has five chairs for waiting customers. The number of customers waiting is a random variable Y with the following probability distribution. P(Y) 0.424 1 0.161 2 0.134 3 0.111 0.093 0.077 A) Does this table satisfy the requirements for the probability distribution? B) Compute the expected value of Y (the mean). C) In a large number of independent observations, how many customers will be waiting on average? D) Find the standard deviation of this distribution?
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