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
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....
icon
Related questions
Question
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
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
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning