The following table represents the joint probability distribution of the number of phone calls received per hour by operator A and operator B at a call center. a. Determine the probability of A receiving 1 call and B receiving 2 calls. b. What is the probability that at least five calls were received in total by both operators? c. If during a particular hour B received at most two phone calls, what is the probability that A received four phone calls?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question
100%

The following table represents the joint probability distribution of the number of phone calls received per hour by operator A and operator B at a call center.

a. Determine the probability of A receiving 1 call and B receiving 2 calls.

b. What is the probability that at least five calls were received in total by both operators?

c. If during a particular hour B received at most two phone calls, what is the probability that A received four phone calls?

A = 1
A= 2
A = 3
A = 4
PB (B = b)
B=1
0.07
0.06
0.11
0.04
В - 2
0.05
0.02
0.351
В - 3
0.017
0.1
0.05
B=4
0.1
0.01
0.02
0.01
РА (А — а)
0.393
Transcribed Image Text:A = 1 A= 2 A = 3 A = 4 PB (B = b) B=1 0.07 0.06 0.11 0.04 В - 2 0.05 0.02 0.351 В - 3 0.017 0.1 0.05 B=4 0.1 0.01 0.02 0.01 РА (А — а) 0.393
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON