Question

7. Between Z=0 and Z=-3

a. 0.9987

b. -0.4987

c. 0.5000

d. 0.4987

e. 0.0013

8. Between Z=-1.95 and Z=1.95

a. 0.9988

b. -0.4488

c. 0.4488

d. 0.9488

e. -0.9488

9. Between Z=1 and Z=3

a. 0.9987

b. 0.1573

c. 0.0013

d. 0.8413

e. 2

10. Find the Z value that corresponds to the given area .

a. 1

b. 0.1

c. 0

d. 0.50

e. None of them

11.

a. 0.8416

b. -0.1584

c. -0.20

d. -0.8416

e. 0.80

12.

a. 0.25

b. -0.6745

c. 0.6745

d. 0.3255

e. -0.3255

13.

a. 0.1533 and 0.4959

b. 0.2533 and 0.4959

c. 0.5041 and 1.2533

d. -0.40 and 0.31

e. None of the above

14.

a. 0.5416

b. 0.8416

c. 0.3416

d. 0.1584

e. -0.1584

15.

a. -0.25 and 0.25

b. -0.6745 and 0.6745

c. 0 and 0.6745

d. -01745 and 0.1745

e. Cannot be found

16. The average gas mileage of a hybrid car is 38.0 miles per gallon. If it is known that the gas mileages of these type of cars are normally distributed with a standard deviation of 2.5 miles per gallon, find the probability that:

A car has a gas mileage of between 35 and 45 miles per gallon

a. 0.8849

b. 0.1151

c. 0.8824

d. between -1.2 and 2.8

e. less than 80 percent

17. A car has a gas mileage less than 45 miles per gallon

a. 0.8849

b. 0.9974

c. 0.8824

d. 0.0026

e. less than 80 percent

18. A car has a gas mileage more than 40 miles per gallon

a. 0.2119

b. 0.1151

c. 0.8824

d. 0.20

e. 0.80

19. You were told that the amount of time elapsed between consecutive trades on the New York Stock Exchange followed a normal distribution with a mean of 15 seconds. You were also told that the probability that the time elapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. The probability that the time elapsed between two consecutive trades would fall below 13 seconds was 7%. What is the probability that the time elapsed between two consecutive trades will be between 14 and 15 seconds?

What is the probability that the time elapsed between two consecutive trades will be between 14 and 15 seconds?

a. 0.30

b. 0.20

c. 0.10

d. 0.15

e. Cannot be solved

20. What is the probability that the time elapsed between two consecutive trades will be between 13 and 16 seconds?

a. 0.30

b. 0.80

c. 0.75

d. 0.73

e. Cannot be solved

21. Dr. Harcar’s typing class can type an average of 75 words per minute with a standard deviation of 5 words per minute. Assume the data is normally distributed.

The top 5% of the class is to receive a special award. What is the minimum number of words per minute a student would need to type in order to get the award?

a. 1.6449

b. 75

c. 80

d. 80.22

e. 83.22

22. The lowest 10% of the class is to take the class again. What is the minimum number of words per minute a student would need to type in order not to take the class again?

a. 56.59

b. 68.59

c. 75

d. 70.59

e. 65.59

23. For a normal distribution with a mean of 8 and a standard deviation of 4, the value 6 has a z value of

a. 1.5

b. -2.5

c. -1.5

d. 0.5

c. -0.5

24. The z value such that 50% of the total area under the standard normal distribution curved lies to the right of it is zero

a. True

b. False

25. Which one of the following is NOT a properties of a normal distribution?

a. It is symmetrical

b. Its mean and median are equal

c. It is bell shape in appearance

d. It has an infinite range

e. Standard deviation 1

Answer 1