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A researcher at a small university is interested in the number of their graduating students who have received job offers. The data is as follows: Male Female Total Yes 180 125 305 Job Offer No 65 130 195 Total 245 255 500 a) Find the probability that a randomly selected graduating student is female. b) Find the probability that a randomly selected graduating student is female and has a job offer. c) Find the probability that a randomly selected graduating student is male, given the student has a job offer. d) Are the events no job offer' and 'yes job offer' mutually exclusive?

A researcher at a small university is interested in the number of their graduating students who have received job offers. The data is as follows: Male Female Total Yes 180 125 305 Job Offer No 65 130 195 Total 245 255 500 a) Find the probability that a randomly selected graduating student is female. b) Find the probability that a randomly selected graduating student is female and has a job offer. c) Find the probability that a randomly selected graduating student is male, given the student has a job offer. d) Are the events no job offer' and 'yes job offer' mutually exclusive?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A researcher at a small university is interested in the number of their graduating students who have received job offers. The data is as follows: Male Female Total Yes 180 125 305 Job Offer No 65 130 195 Total 245 255 500 a) Find the probability that a randomly selected graduating student is female. b) Find the probability that a randomly selected graduating student is female and has a job offer. c) Find the probability that a randomly selected graduating student is male, given the student has a job offer. . d) Are the events no job offer' and 'yes job offer' mutually exclusive?
Transcribed Image Text:A researcher at a small university is interested in the number of their graduating students who have received job offers. The data is as follows: Male Female Total Yes 180 125 305 Job Offer No 65 130 195 Total 245 255 500 a) Find the probability that a randomly selected graduating student is female. b) Find the probability that a randomly selected graduating student is female and has a job offer. c) Find the probability that a randomly selected graduating student is male, given the student has a job offer. . d) Are the events no job offer' and 'yes job offer' mutually exclusive?
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