7. A survey was made among 100 graduates to report on their employment status. The sample comprises 50 male and 50 female graduates. The result shows that 60 graduates are unemployed with of them male, while the remainders are employed withof them female. a) Construct a table for the event above. If a graduate is chosen randomly, b) Calculate the probability that the graduate is a male and unemployed. c) If the graduate is a female, find the probability that she is unemployed. d) If gender does not have any effect on employment, calculate the probability that the graduate chosen is a female or unemployed.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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7. A survey was made among 100 graduates to report on their employment status. The sample comprises 50
male and 50 female graduates. The result shows that 60 graduates are unemployed with of them male,
while the remainders are employed with of them female.
a) Construct a table for the event above.
If a graduate is chosen randomly,
b) Calculate the probability that the graduate is a male and unemployed.
c) If the graduate is a female, find the probability that she is unemployed.
d) If gender does not have any effect on employment, calculate the probability that the graduate
chosen is a female or unemployed.
Transcribed Image Text:7. A survey was made among 100 graduates to report on their employment status. The sample comprises 50 male and 50 female graduates. The result shows that 60 graduates are unemployed with of them male, while the remainders are employed with of them female. a) Construct a table for the event above. If a graduate is chosen randomly, b) Calculate the probability that the graduate is a male and unemployed. c) If the graduate is a female, find the probability that she is unemployed. d) If gender does not have any effect on employment, calculate the probability that the graduate chosen is a female or unemployed.
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