The National Association of Colleges and Employers carries out a student survey each year. A summary of data from the 2009 survey included the following information:
• 26% of students graduating in 2009 intended to go on to graduate or professional school.
• Only 40% of those who graduated in 2009 received at least one job offer prior to graduation.
• Of those who received a job offer, only 45% had accepted an offer by the time they graduated. Consider the following events: O = event that a randomly selected 2009 graduate received at least one job offer A = event that a randomly selected 2009 graduate accepted a job offer prior to graduation G = event that a randomly selected 2009 graduate plans to attend graduate or professional school Compute the following probabilities.
a. P(O)
b. P(A)
c. P(G)
d. P(A,O)
e. P(O,A)
f. P(A∩O)