In a newspaper poll concerning violence on television, 580 people were asked, "What is your opinion of the amount of violence on prime-time television−is there too much violence on television?" Their responses are indicated in the figure below. Yes (Y) No (N) Don't Know (D) Total Men (M) 162 85 23 270 Women (W) 256 35 19 310 Total 418 120 42 580 Use the data in the table above to find the given probabilities. (Round your answers to four decimal places.)
In a newspaper poll concerning violence on television, 580 people were asked, "What is your opinion of the amount of violence on prime-time television−is there too much violence on television?" Their responses are indicated in the figure below. Yes (Y) No (N) Don't Know (D) Total Men (M) 162 85 23 270 Women (W) 256 35 19 310 Total 418 120 42 580 Use the data in the table above to find the given probabilities. (Round your answers to four decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 8PPS
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Question
In a newspaper poll concerning violence on television, 580 people were asked, "What is your opinion of the amount of violence on prime-time television−is there too much violence on television?" Their responses are indicated in the figure below.
| Yes (Y) | No (N) | Don't Know (D) | Total | |
|---|---|---|---|---|
| Men (M) | 162 | 85 | 23 | 270 |
| Women (W) | 256 | 35 | 19 | 310 |
| Total | 418 | 120 | 42 | 580 |
Use the data in the table above to find the given probabilities. (Round your answers to four decimal places.)
(c)
p(N | W)
What does p(N | W)represent?
p(N | W) is the probability that a woman surveyed said no.
p(N | W) is the probability that a person surveyed who said no was a woman.
p(N | W) is the probability that a person surveyed who said yes was a woman.
p(N | W) is the probability that a woman surveyed said yes.
(d)
p(W | N)
What does p(W | N)represent?
p(W | N) is the probability that a woman surveyed said yes.
p(W | N) is the probability that a person surveyed who said yes was a woman.
p(W | N) is the probability that a person surveyed who said no was a woman.
p(W | N) is the probability that a woman surveyed said no.
(e)
p(N ∩ W)
What does p(N ∩ W) represent?
p(N ∩ W) is the probability that a person surveyed said no and was a woman.
p(N ∩ W) is the probability that a person surveyed said no and was a man.
p(N ∩ W) is the probability that a person was a woman given that the person said no.
p(N ∩ W) is the probability that a person surveyed said no given that the person was a woman.
(f)
p(W ∩ N)
_______
What does p(W ∩ N) represent?
p(W ∩ N) is the probability that a person surveyed said no given that the person was a woman.
p(W ∩ N) is the probability that a person surveyed was a woman and said no.
p(W ∩ N) is the probability that a person was a woman given that the person said no.
p(W ∩ N) is the probability that a person surveyed said yes and was a man.
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