Question This document is for review purposes and does not represent every type of problem that may be on the 40 question QMB3600 cumulative final exam.

This document is for review purposes and does not represent every type of problem that may be on the 40 question QMB3600 cumulative final exam.

1. This problem is in reference to students who may or may not take advantage of the opportunities provided in QMB such as homework. Some of the students pass the course, and some of them do not pass. Research indicates that 40% of the students do the assigned homework. Of the students who do homework, there is an 80% chance they will pass the course. The probability of not passing if the student does not do the home work is 90%. What is the probability of a student not doing homework or passing?
A. .32
B. .52
C. .94
D. .92
E. .38

2. Suppose that for a certain football game the probability that the home team will be ahead at half time
is 0.60 and the probability that the home team will be ahead at half time as well as at the final gun is 0.45.
What is the probability that the home team will win this game given that it is ahead at the half?
A. .45
B. .75
C. .15
D. .27
E. None of the above.

3. A company markets two products (Product A and Product B) through mail order. The company will market them in sequence with the first mail order offer for product A. It f feels that there is a 30% chance that any customer will purchase product A. Product B is offered some months later. It is felt, for product B, that there is a 30% chance of selling product B to a customer if the customer purchased product A and a 5% chance of selling product B to a customer who did not purchase product A.

What is the probability of not selling product B to a particular customer?
A. .875
B. .665
C. .125
D.
E. .210
None of the above

4. A quality control department finds that it accepted only 5% of all bad items and it rejected only 1% of good items. A supplier has just delivered a shipment of a certain item. Past records show that only
90% of the parts of that supplier are good. If the department accepts an item, what is the probability that the item is bad? Round your answer to five decimal places.
A. 0.05000
B. 0.00558
C. 0.35714
D. 0.09635
E. None of the above

5. The probability that house sales will increase over the next six months is estimated at 0.25. It is also estimated that the probability is 0.74 that 30 year fixed-loan mortgage rates will increase over this period. Economists estimate that the probability is 0.89 that either housing sales or interest rates will increase.

The probability that both house sales and interest rates will increase is estimated at: A. .100

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