4.41 A traditional call center has a simple mission: Agents have to answer customer calls fast and end them as quickly as possible to move on to the next call. The quality of service rendered by the call center was evaluated by recording the number of times a customer called the center back within a week of his or her initial call to the center. y = number of recalls 1 2 3 4 5 6 P(y) .151 232 354 .161 .067 .021 .014 a. What is the probability that a customer will recall the center more than three times? b. What is the probability that a customer will recall the center at least two times but less than five times? c. Suppose a call center must notify a supervisor if a customer recalls the center more than four times within a week of his or her initial call. What proportion of customers who contact the call center will require a supervisor to be contacted?
4.41 A traditional call center has a simple mission: Agents have to answer customer calls fast and end them as quickly as possible to move on to the next call. The quality of service rendered by the call center was evaluated by recording the number of times a customer called the center back within a week of his or her initial call to the center. y = number of recalls 1 2 3 4 5 6 P(y) .151 232 354 .161 .067 .021 .014 a. What is the probability that a customer will recall the center more than three times? b. What is the probability that a customer will recall the center at least two times but less than five times? c. Suppose a call center must notify a supervisor if a customer recalls the center more than four times within a week of his or her initial call. What proportion of customers who contact the call center will require a supervisor to be contacted?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
question 4.41
![2 R. Lyman Ott, Michael Longnecker - An Introduction to Statistical Methods and Data Analysis-Cengage (2016).pdf - Adobe Reader
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y
1
3
4
5
6
7
8
9
10
P(y)
.100
.130
.250
.160
.095
.075
.063
.047
.041
.024
.015
arch term
tents
a. Construct a graph of P(y).
b. Compute P(y= 2).
c. Compute P(y>7).
d. Compute P(2 < y< 7).
lace
EI Statistics &
Scientific Method
Bus.
4.41 A traditional call center has a simple mission: Agents have to answer customer calls fast
and end them as quickly as possible to move on to the next call. The quality of service rendered
by the call center was evaluated by recording the number of times a customer called the center
ET Surveys &
Experimental
Studies to gather
back within a week of his or her initial call to the center.
Data
+ P Data Description
ET Probability &
y = number of recalls
1
2
3
4
6
P(y)
.151
232
.354
.161
.067
.021
.014
Probability
Distributions
a. What is the probability that a customer will recall the center more than three times?
b. What is the probability that a customer will recall the center at least two times but
+P Inferences about
Population Central
less than five times?
Values
c. Suppose a call center must notify a supervisor if a customer recalls the center
more than four times within a week of his or her initial call. What proportion of
customers who contact the call center will require a supervisor to be contacted?
EP Inferences
Comparing 2
Population Central
Values
4.8
Two Discrete Random Variables: The Binomial and the Poisson
+P Inferences about
4.42 A biologist randomly selects 10 portions of water, each equal to .1 cm³ in volume, from
the local reservoir and counts the number of bacteria present in each portion. The biologist then
totals the number of bacteria for the 10 portions to obtain an estimate of the number of bacteria
per cubic centimeter present in the reservoir water. Is this a binomial experiment?
Population
Variances
Blo.
+ P Inferences about
more than 2
Population Central
Pol. Scl.
4.43 Examine the accompanying newspaper clipping. Does this sampling appear to satisfy the
Values
characteristics of a binomial experiment?
ENG 12:07 AM
P Type here to search
71°F
IN
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Transcribed Image Text:2 R. Lyman Ott, Michael Longnecker - An Introduction to Statistical Methods and Data Analysis-Cengage (2016).pdf - Adobe Reader
File Edit View Window Help
215 (228 of 1179)
125%
Comment
Share
y
1
3
4
5
6
7
8
9
10
P(y)
.100
.130
.250
.160
.095
.075
.063
.047
.041
.024
.015
arch term
tents
a. Construct a graph of P(y).
b. Compute P(y= 2).
c. Compute P(y>7).
d. Compute P(2 < y< 7).
lace
EI Statistics &
Scientific Method
Bus.
4.41 A traditional call center has a simple mission: Agents have to answer customer calls fast
and end them as quickly as possible to move on to the next call. The quality of service rendered
by the call center was evaluated by recording the number of times a customer called the center
ET Surveys &
Experimental
Studies to gather
back within a week of his or her initial call to the center.
Data
+ P Data Description
ET Probability &
y = number of recalls
1
2
3
4
6
P(y)
.151
232
.354
.161
.067
.021
.014
Probability
Distributions
a. What is the probability that a customer will recall the center more than three times?
b. What is the probability that a customer will recall the center at least two times but
+P Inferences about
Population Central
less than five times?
Values
c. Suppose a call center must notify a supervisor if a customer recalls the center
more than four times within a week of his or her initial call. What proportion of
customers who contact the call center will require a supervisor to be contacted?
EP Inferences
Comparing 2
Population Central
Values
4.8
Two Discrete Random Variables: The Binomial and the Poisson
+P Inferences about
4.42 A biologist randomly selects 10 portions of water, each equal to .1 cm³ in volume, from
the local reservoir and counts the number of bacteria present in each portion. The biologist then
totals the number of bacteria for the 10 portions to obtain an estimate of the number of bacteria
per cubic centimeter present in the reservoir water. Is this a binomial experiment?
Population
Variances
Blo.
+ P Inferences about
more than 2
Population Central
Pol. Scl.
4.43 Examine the accompanying newspaper clipping. Does this sampling appear to satisfy the
Values
characteristics of a binomial experiment?
ENG 12:07 AM
P Type here to search
71°F
IN
9/25/2021
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