Consider the following contingency table. B BC Total A 48 45 93 AC 33 24 47 Total 81 69 150 a. Convert the contingency table into a joint probability table. b. What is the probability that A occurs? C. What is the probability that the event A and B occurs? d. What is the probability that either A or B occurs?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Consider the following contingency table.
B
BC
Total
A
48
45
93
AC
33
24
47
Total
81
69
150
a. Convert the contingency table into a joint probability table.
b. What is the probability that A occurs?
C.
What is the probability that the event A and B occurs?
d. What is the probability that either A or B occurs?
Transcribed Image Text:Consider the following contingency table. B BC Total A 48 45 93 AC 33 24 47 Total 81 69 150 a. Convert the contingency table into a joint probability table. b. What is the probability that A occurs? C. What is the probability that the event A and B occurs? d. What is the probability that either A or B occurs?
e.
f.
Given that B has occurred, what is the probability that A occurs?
Given that A has occurred, what is the probability that B occurs?
g. Are A and B mutually exclusive? Explain.
h.
Are A and B independent? Explain.
Transcribed Image Text:e. f. Given that B has occurred, what is the probability that A occurs? Given that A has occurred, what is the probability that B occurs? g. Are A and B mutually exclusive? Explain. h. Are A and B independent? Explain.
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