Answered: a newspaper poll concerning violence on…

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

In a newspaper poll concerning violence on television, 590 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	45	19	320
Total	418	130	42	590

Use the data in the table above to find the given probabilities. (Round your answers to four decimal places.)

(a)

p(N)

What does

p(N)

represent?

p(N) is the probability that a man surveyed said no.p(N) is the probability that a person surveyed said no. p(N) is the probability that a man surveyed said yes.p(N) is the probability that a person surveyed said yes.

(b)

p(W)

What does

p(W)

represent?

p(W) is the probability that a person surveyed was a man.p(W) is the probability that a woman surveyed said yes. p(W) is the probability that a person surveyed was a woman.p(W) is the probability that a man surveyed said yes.

(c)

p(N | W)

What does

p(N | W)

represent?

p(N | W) is the probability that a woman surveyed said yes.p(N | W) is the probability that a woman surveyed said no. p(N | W) is the probability that a person surveyed who said yes was a woman.p(N | W) is the probability that a person surveyed who said no was a woman.

(d)

p(W | N)

What does

p(W | N)

represent?

p(W | N) is the probability that a person surveyed who said no was a woman.p(W | N) is the probability that a person surveyed who said yes was a woman. p(W | N) is the probability that a woman surveyed said no.p(W | N) is the probability that a woman surveyed said yes.

(e)

p(N ∩ W)

What does

p(N ∩ W)

represent?

p(N ∩ W) is the probability that a person surveyed said no given that the person was a woman.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 and was a woman.p(N ∩ W) is the probability that a person surveyed said no and was a man.

(f)

p(W ∩ N)

What does

p(W ∩ N)

represent?

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 was a woman and said no. 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 said yes and was a man.

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