The probability that a married man watches a certain television show is 0.5, and the probability that a married woman watches the show is 0.7. The probability that a man watches the show, given that his wife does, is 0.6. Complete parts (a) through (c) below. (a) Find the probability that a married couple watches the show. The probability is ☐ (Round to three decimal places as needed.) (b) Find the probability that a wife watches the show, given that her husband does. The probability is ☐ (Round to three decimal places as needed.) (c) Find the probability that at least one member of a married couple watches the show. The probability is ☐ (Round to three decimal places as needed.)

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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The probability that a married man watches a certain television show is 0.5, and the probability that a married woman
watches the show is 0.7. The probability that a man watches the show, given that his wife does, is 0.6. Complete
parts (a) through (c) below.
(a) Find the probability that a married couple watches the show.
The probability is ☐
(Round to three decimal places as needed.)
(b) Find the probability that a wife watches the show, given that her husband does.
The probability is ☐
(Round to three decimal places as needed.)
(c) Find the probability that at least one member of a married couple watches the show.
The probability is ☐
(Round to three decimal places as needed.)
Transcribed Image Text:The probability that a married man watches a certain television show is 0.5, and the probability that a married woman watches the show is 0.7. The probability that a man watches the show, given that his wife does, is 0.6. Complete parts (a) through (c) below. (a) Find the probability that a married couple watches the show. The probability is ☐ (Round to three decimal places as needed.) (b) Find the probability that a wife watches the show, given that her husband does. The probability is ☐ (Round to three decimal places as needed.) (c) Find the probability that at least one member of a married couple watches the show. The probability is ☐ (Round to three decimal places as needed.)
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