13) The table below describes the smoking habits of a group of asthma sufferers. Light Heavy Nonsmoker smoker smoker Total 70 83 460 77 486 160 946 Men 307 326 633 Women 83 Total 153 a) If one of the 946 subjects is randomly selected, find the probability that the person chosen is a nonsmoker given that the person is a woman. b) If one of the 946 subjects is randomly selected, find the probability that the person chosen is a man given that the person is a light smoker.

13) The table below describes the smoking habits of a group of asthma sufferers. Light Heavy Nonsmoker smoker smoker Total 70 83 460 77 486 160 946 Men 307 326 633 Women 83 Total 153 a) If one of the 946 subjects is randomly selected, find the probability that the person chosen is a nonsmoker given that the person is a woman. b) If one of the 946 subjects is randomly selected, find the probability that the person chosen is a man given that the person is a light smoker.

Name: 13) The table below describes the smoking habits of a group of asthma
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Description: 13) The table below describes the smoking habits of a group of asthma sufferers.Light HeavyNonsmoker smoker smoker TotalMen3077083460Women3268377486Total633153160946a) If one of the 946 subjects is randomly selected, find the probability that the pe

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

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13) The table below describes the smoking habits of a group of asthma sufferers.
Light Heavy
Nonsmoker smoker smoker Total
Men
307
70
83
460
Women
326
83
77
486
Total
633
153
160
946
a) If one of the 946 subjects is randomly selected, find the probability that the person chosen is a nonsmoker given that
the person is a woman.
b) If one of the 946 subjects is randomly selected, find the probability that the person chosen is a man given that the
person is a light smoker.
14) Does order of the events happening matter when finding a conditional probability?
Explain why or why not by using an example.

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