The following is a contingency table showing the number of males and females with their educational status. Graduate Post Graduate PhD Total Male 30 20 10 Female 20 X 40 Total 50 Y 15 100 a. What is the probability that a randomly selected person is a graduate? Answer in exact fraction, or rounded to at least 4 decimal places b. What is the probability that a randomly selected person will be male with a postgraduate degree? Answer in exact fraction, or rounded to at least 4 decimal places c. What is the probability that a person is a PhD holder given that the person is male? Answer in exact fraction, or rounded to at least 4 decimal places d. What is the probability that a person will be male given that he is NOT a graduate? Answer in exact fraction, or rounded to at least 4 decimal places

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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The following is a contingency table showing the number of males and females with their educational status.
Graduate
Post Graduate
PhD
Total
Male
30
20
10
Female
20
X
5
40
Total
50
Y
15
100
a. What is the probability that a randomly selected person is a graduate?
Answer in exact fraction, or rounded to at least 4 decimal places
b. What is the probability that a randomly selected person will be male with a postgraduate degree?
Answer in exact fraction, or rounded to at least 4 decimal places
c. What is the probability that a person is a PhD holder given that the person is male?
Answer in exact fraction, or rounded to at least 4 decimal places
d. What is the probability that a person wilI be male given that he is NOT a graduate?
Answer in exact fraction, or rounded to at least 4 decimal places
Transcribed Image Text:The following is a contingency table showing the number of males and females with their educational status. Graduate Post Graduate PhD Total Male 30 20 10 Female 20 X 5 40 Total 50 Y 15 100 a. What is the probability that a randomly selected person is a graduate? Answer in exact fraction, or rounded to at least 4 decimal places b. What is the probability that a randomly selected person will be male with a postgraduate degree? Answer in exact fraction, or rounded to at least 4 decimal places c. What is the probability that a person is a PhD holder given that the person is male? Answer in exact fraction, or rounded to at least 4 decimal places d. What is the probability that a person wilI be male given that he is NOT a graduate? Answer in exact fraction, or rounded to at least 4 decimal places
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