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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.        .210

E.        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

 

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