Shylock enters a local branch bank at 4:30 p.m. every payday, at which time there are always two tellers on duty. The number X of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. I 01 1 2 3 P(x) 0.135 0.192 0.284 0.230 I 4 5 6 P(x) 0.103 0.051 0.005 a. What number of customers does Shylock most often see in the bank the moment he enters? b. What number of customers waiting in line does Shylock most often see the moment he enters? c. What is the average number of customers who are waiting in line the moment Shylock enters?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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Homework
Shylock enters a local branch bank at 4:30 p.m. every payday, at which time there are always two tellers
on duty. The number X of customers in the bank who are either at a teller window or are waiting in a
single line for the next available teller has the following probability distribution.
I 0 1 2 3
P(x) 0.135 0.192 0.284 0.230
4 5 6
I
P(x) 0.103 0.051 0.005
a. What number of customers does Shylock most often see in the bank the moment he enters?
b. What number of customers waiting in line does Shylock most often see the moment he enters?
c. What is the average number of customers who are waiting in line the moment Shylock enters?
23
Transcribed Image Text:22 Homework Shylock enters a local branch bank at 4:30 p.m. every payday, at which time there are always two tellers on duty. The number X of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. I 0 1 2 3 P(x) 0.135 0.192 0.284 0.230 4 5 6 I P(x) 0.103 0.051 0.005 a. What number of customers does Shylock most often see in the bank the moment he enters? b. What number of customers waiting in line does Shylock most often see the moment he enters? c. What is the average number of customers who are waiting in line the moment Shylock enters? 23
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