Question 1179735: According to the May 2009 issue of U.S. News and World Report, 85.1% of the students who graduated with an MBA degree in 2008 from the University of Virginia’s Darden School of Business had job offers before the graduation date. Suppose that this percentage is true for the top 50 MBA programs in the list of 426 MBA programs analyzed in this issue of the U.S. News and World Report. Suppose that two 2008 MBA graduates are selected at random from these top 50 MBA programs and asked if they had job offers before the graduation date. Draw a tree diagram for this problem. Find the probability that in this sample of two graduates
a. both had job offers before the graduation date
b. at most one had job offer before the graduation date
Answer by ikleyn(52807)   (Show Source):
You can put this solution on YOUR website! .
According to the May 2009 issue of U.S. News and World Report, 85.1% of the students who graduated with an MBA degree
in 2008 from the University of Virginia’s Darden School of Business had job offers before the graduation date.
Suppose that this percentage is true for the top 50 MBA programs in the list of 426 MBA programs analyzed
in this issue of the U.S. News and World Report. Suppose that two 2008 MBA graduates are selected at random
from these top 50 MBA programs and asked if they had job offers before the graduation date.
Draw a tree diagram for this problem. Find the probability that in this sample of two graduates
a. both had job offers before the graduation date
b. at most one had job offer before the graduation date
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(a) P(both) = P(one)*P(second) = 0.851*0.851 = 0.724201. ANSWER
(b) It is the COMPLEMENT to the event "both had job offer . . . ".
So, in this case, P(at most one) = 1 - P(both) = 1 - 0.724201 = 0.275799
0.977799. ANSWER
Solved.
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