1. (7 points) A salesman who frequently drives from Boston to NY finds that his driving time follows a normal distribution with an average of 4.3 hours and a standard deviation of 0.2 hours. Find the probability that one trip will consume between 4.5 and 4.6 hours.

A. 0.0919

B. 0.1587

C. 0.1915

D. 0.7745

E. none of the above

2. (7 points) In the standard normal curve, the 43rd percentile is

A. 0.07

B. 0.18

C. 0.2580

D. 1.48

E. none of the above

3. (7 points) During the last week of the semester, students at Kennesaw State University spend an average of 4.2 hours using the school's computer terminals with a standard deviation of 1.8 hours. For a random sample of 36 Kennesaw State University students, find the probability that the average time spent using the computer terminals during the last week is between 4.1 and 4.5 hours.

A. 0.0294

B. 0.0874

C. 0.2120

D. 0.4706

E. none of the above

4. (7 points) In the standard normal curve

A. the average is 0 and the standard deviation is 1.

B. the average is 1 and the standard deviation is 0.

C. the average is 1 and the standard deviation is 1.

D. none of the above

5. (7 points) Consider a binomial probability distribution with 15 trials and fixed probability of success of 35%. The average of this binomial probability distribution is

A. 9.75

B. 7.5

C. 5.25

D. 3.4125

E. 3.12

6. (7 points) Consider a binomial probability distribution with 15 trials and fixed probability of success of 35%. The standard deviation of this binomial probability distribution is

A. 5.25

B. 3.4125

C. 3.12

D. 2.29

E. 1.85

7. (7 points) Consider a binomial probability distribution with 15 trials and fixed probability of success of 35%. The probability of 8 successes, , is approximately

A. 1.45

B. 0.237

C. 0.196

D. 0.07

E. none of the above

8. (7 points) In the standard normal curve the probability of an observation larger than is

A. 0.478

B. 0.1093

C. 0.3907

D. 0.6093

E. 0.8907

9. (7 points) Find b, such that on the standard normal curve, .

A. 0.1591

B. 0.54

C. 1.08

D. 1.35

E. none of the above

10. (7 points) You pay $1 to roll a pair of dice. If you roll a sum of 7 you receive $5. For all other rolls you receive nothing. The expected value of this game is approximately

A. $2.50

B. $1.50

C. $0

D. -$0.17

E. -$0.50

11. (7 points) A fair pair of dice is thrown 64 times and the number of occurrences of the sum 10 is recorded. In this binomial experiment, the fixed probability of success, p, is

A. 1/12

B.  1/11

C. 5/32

D. 5/18

E. 1/2

F. none of the above

12. (8 points) Replacement times for CD players are normally distributed with a mean of 7.1 years and a standard deviation of 1.4 years. Find the replacement time separating the top 45% from the bottom 55%.

13. (7 points) Is it appropriate to approximate a binomial probability distribution where n=25  and p=65%  with the normal curve? Explain.

14. (8 points) Use the normal curve to approximate in the binomial probability distribution where n=25 and p=65%.

Bonus! (7 points) According to Nielson Media Research, 30% of all televisions are tuned to NFL Monday Night Football when it is televised. Assuming that this show is being broadcast and that the televisions are randomly selected, find the exact probability that at least 1 of 15 televisions is tuned to NFL Monday Night Football.