Choose at random a person 15 years of age or older. Ask their gender and marital status (never married, married, or widowed/divorced/separated). Here is the probability model for 8 possible answers:18 Never married Married Divorced Widowed Men 0.171 0.259 0.042 0.013 Gender Exercises 12.42 through 12.44 use this probability model. Women 0.152 0.261 0.057 0.045 12.42 Marital Status. a. Why is this a legitimate finite probability model? b. What is the probability that the person chosen is a woman who is married? c. What is the probability that the person chosen is a woman? d. What is the probability that the person chosen is married?
Choose at random a person 15 years of age or older. Ask their gender and marital status (never married, married, or widowed/divorced/separated). Here is the probability model for 8 possible answers:18 Never married Married Divorced Widowed Men 0.171 0.259 0.042 0.013 Gender Exercises 12.42 through 12.44 use this probability model. Women 0.152 0.261 0.057 0.045 12.42 Marital Status. a. Why is this a legitimate finite probability model? b. What is the probability that the person chosen is a woman who is married? c. What is the probability that the person chosen is a woman? d. What is the probability that the person chosen is married?
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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Transcribed Image Text:Choose at random a person 15 years of age or older. Ask their gender and marital status
(never married, married, or widowed/divorced/separated). Here is the probability
model for 8 possible answers:18
Never married
Married
Divorced
Widowed
Men
0.171
0.259
12.43 Marital Status, Continued.
0.042
0.013
Gender
Exercises 12.42 through 12.44 use this probability model.
Women
0.152
0.261
0.057
0.045
12.42 Marital Status.
a. Why is this a legitimate finite probability model?
b. What is the probability that the person chosen is a woman who is
married?
c. What is the probability that the person chosen is a woman?
d. What is the probability that the person chosen is married?
a. List the outcomes that make up the event
A = {The person chosen is either a woman or is married}
b. What is P (A)? Explain carefully why P (A) is not the sum of the
probabilities you found in parts (c) and (d) of the previous exercise.
12.44 Marital Status, Continued.
a. What is the probability that the person chosen is a man?
b. What is the probability that the person chosen is or has been married?
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