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# MATH 533 Final Exam v2

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Author: Christine Farr
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1. (TCO A)A random sample of 20 cars driving down I-294 is selected and their speed is monitored. The results are as follows (in mph).
68 65 50 79 77 60 55 61 78 75
75 67 72 58 70 62 67 72 70 74

a. Compute the mean, median, mode, and standard deviation, Q1, Q3, Min, and Max for the above sample data on speed per car
2. (TCO B) Consider the following data on newly hired employees in relation to which part of the country they were born and their highest degree attained.

HS

BS

MS

PHD

Total

East

3

5

2

1

11

Midwest

7

9

2

0

18

South

5

8

6

2

21

West

1

7

8

6

22

Total

16

29

18

9

72

If you choose one person at random, then find the probability that the person

a. has a PHD
b. is from the East and has a BS as the highest degree attained.
3. (TCO B)A source in the Internal Revenue Service has stated that historically 90% of federal tax returns filed are free of arithmetic errors. A random sample of 25 returns are selected and checked carefully for arithmetic errors. Assuming independence, find the probability that
4. (TCO B)CJ Computer Disks stocks and sells recordable CDs. The monthly demand for these CDs is closely approximated by a normal distribution with a mean of 20,000 disks and standard deviation of 4,000 disks. CJ receives shipments from the supplier once per month (at the beginning of each month).

a. Find the probability that the demand for recordable CDs exceeds 30,000 for a particular month
b. Find the probability that the demand for recordable CDs is between 12,000 and 18,000
c. How large an inventory must CJ have available at the beginning of the month so that the probability of running out of recordable CDs (a stock out) during the month is no more than .05? (Points : 18)
5. (TCO C) The Ford Motor Company wishes to estimate the mean dollar amount of damage done to a Ford Explorer as a result of a 10 mph crash into the rear bumper of a parked car. The sample results are as follows.

Sample Size = 36
Sample Mean = \$638
Sample Standard Deviation = \$115

(more)
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