In Orange County, 51% of the adults are males. (It doesn't take too much advanced mathematics to deduce that the other 49% are females.) One adult is randomly selected for a survey involving credit card usage. a. Find the prior probability that the selected person is a male. b. It is later learned that the selected survey subject was smoking a cigar. Also, 9.5% of males smoke cigars, whereas 1.7% of females smoke cigars (based on data from the Substance Abuse and Mental Health Services Administration). Use this additional information to find the probability that the selected subject is a male.
In Orange County, 51% of the adults are males. (It doesn't take too much advanced mathematics to deduce that the other 49% are females.) One adult is randomly selected for a survey involving credit card usage. a. Find the prior probability that the selected person is a male. b. It is later learned that the selected survey subject was smoking a cigar. Also, 9.5% of males smoke cigars, whereas 1.7% of females smoke cigars (based on data from the Substance Abuse and Mental Health Services Administration). Use this additional information to find the probability that the selected subject is a male.
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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Transcribed Image Text:In Orange County, 51% of the adults are males. (It doesn't take too much advanced
mathematics to deduce that the other 49% are females.) One adult is randomly selected
for a survey involving credit card usage.
a. Find the prior probability that the selected person is a male.
b. It is later learned that the selected survey subject was smoking a cigar. Also, 9.5%
of males smoke cigars, whereas 1.7% of females smoke cigars (based on data
from the Substance Abuse and Mental Health Services Administration). Use this
additional information to find the probability that the selected subject is a male.
Please solve each part using Bayes' Theorem and explain each part completely. Thanks.
*
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