4. What is the probability that the man writes one and receives one letter? Options A : 0.05 B: 0.12 C: 0.23 D: 0.56 E : 0.30 5. What is the probability that the man writes one letter? 6. What is the conditional probability that the man will write two letters in a week during which he receives one? Options for Questions 5 and 6 A : 0.30 B: 0.24 C:0.125 D: 0.167 E : 0.55 F: 0.50

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...
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Question
4
The number of letters, X, written by a man and the number of letters, Y, that he receives
in one week have the following joint probability mass function:
Y
p(x, y)0 1 2 3
0.01 0.02 0.06 0.01
X
1
0.12 0.23 0.12 0.03
2
0.07 0.05 0.22 0.06
4. What is the probability that the man writes one and receives one letter?
Options
A : 0.05
B: 0.12
C: 0.23
D: 0.56
E: 0.30
5. What is the probability that the man writes one letter?
6. What is the conditional probability that the man will write two letters in a week during
which he receives one?
Options for Questions 5 and 6
A : 0.30
B: 0.24
C:0.125
D: 0.167
E: 0.55
F:0.50
Transcribed Image Text:The number of letters, X, written by a man and the number of letters, Y, that he receives in one week have the following joint probability mass function: Y p(x, y)0 1 2 3 0.01 0.02 0.06 0.01 X 1 0.12 0.23 0.12 0.03 2 0.07 0.05 0.22 0.06 4. What is the probability that the man writes one and receives one letter? Options A : 0.05 B: 0.12 C: 0.23 D: 0.56 E: 0.30 5. What is the probability that the man writes one letter? 6. What is the conditional probability that the man will write two letters in a week during which he receives one? Options for Questions 5 and 6 A : 0.30 B: 0.24 C:0.125 D: 0.167 E: 0.55 F:0.50
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