Question
Consider the following contingency table. B B c A 20 12 A c 50 18 a. Convert the contingency table into a joint probability table.
Consider the following contingency table.
| B | Bc | |
|---|---|---|
| A | 20 | 12 |
| Ac | 50 | 18 |
a. Convert the contingency table into a joint probability table. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
b. What is the probability that A occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
c. What is the probability that A and B occur? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
d. Given that B has occurred, what is the probability that A occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
e. Given that Ac has occurred, what is the probability that B occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
f. Are A and B mutually exclusive events?
multiple choice 1
Yes because P(A | B) ≠ P(A).
Yes because P(A ∩ B) ≠ 0.
No because P(A | B) ≠ P(A).
No because P(A ∩ B) ≠ 0.
g. Are A and B independent events?
multiple choice 2
Yes because P(A | B) ≠ P(A).
Yes because P(A ∩ B) ≠ 0.
No because P(A | B) ≠ P(A).
No because P(A ∩ B) ≠ 0
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Essentials Of Business Statistics Communicating With Numbers
Authors: Sanjiv Jaggia, Alison Kelly
1st Edition
78020549, 978-0078020544
