The total area underneath any normal curve is equal to
Multiple Choice
19. If x is uniformly distributed over the interval 8 to 12, inclusively (8 x 12), then the probability, P(9 x 11), is __________________.
a) 0.250
b) 0.500
c) 0.333
d) 0.750
e) 1.000
2Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
20. If x is uniformly distributed over the interval 8 to 12, inclusively (8 x 12), then the probability, P(10.0 x 11.5), is __________________.
a) 0.250
b) 0.333
c) 0.375
d) 0.500
e) 0.750
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
21. If x is uniformly distributed over the interval 8 to 12, inclusively (8 x 12), then the probability, P(13 x 15), is __________________.
a) 0.250
b) 0.500
c) 0.375
d) 0.000
e) 1.000
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
22. If x is uniformly distributed over the interval 8 to 12, inclusively (8 x 12), then P(x < 7) is __________________.
a) 0.500
b) 0.000
c) 0.375
d) 0.250
e) 1.000
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
23. If x is uniformly distributed over the interval 8 to 12, inclusively (8 x 12), then P(x 11) is __________________.
a) 0.750
b) 0.000
c) 0.333
d) 0.500
e) 1.000
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
24. If x is uniformly distributed over the interval 8 to 12, inclusively (8 x 12), then P(x 10) is __________________.
a) 0.750
b) 0.000
c) 0.333
d) 0.500
e) 0.900
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
25. If a continuous random variable x is uniformly distributed over the interval 8 to 12, inclusively, then P(x = exactly 10) is __________________.
a) 0.750
b) 0.000
c) 0.333
d) 0.500
e) 0.900
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Hard
26. If x, the time (in minutes) to complete an oil change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 x 30), then the height of this distribution, f(x), is __________________.
a) 1/10
b) 1/20
c) 1/30
d) 12/50
e) 1/60
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Easy
27. If x, the time (in minutes) to complete an oil change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 x 30), then the mean of this distribution is __________________.
a) 50
b) 25
c) 10
d) 15
e) 5
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
28. If x, the time (in minutes) to complete an oil change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 x 30), then the standard deviation of this distribution is __________________.
a) unknown
b) 8.33
c) 0.833
d) 2.89
e) 1.89
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
29. If x, the time (in minutes) to complete an change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 x 30), then the probability that an oil change job is completed in 25 to 28 minutes, inclusively, i.e., P(25 x 28) is __________________.
a) 0.250
b) 0.500
c) 0.300
d) 0.750
e) 81.000
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
30. If x, the time (in minutes) to complete an change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 x 30), then the probability that an oil change job is completed in 21.75 to 24.75 minutes, inclusively, i.e., P(21.75 x 24.25) is __________________.
a) 0.250
b) 0.333
c) 0.375
d) 0.000
e) 1.000
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
31. If x, the time (in minutes) to complete an change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 x 30), then the probability that an oil change job is completed in 33 to 35 minutes, inclusively, i.e., P(33 x 35) is __________________.
a) 0.5080
b) 0.000
c) 0.375
d) 0.200
e) 1.000
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
32. If x, the time (in minutes) to complete an change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 x 30), then the probability that an oil change job is completed in less than 17 minutes, i.e., P(x < 17) is __________________.
a) 0.500
b) 0.300
c) 0.000
d) 0.250
e) 1.000
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
33. If x, the time (in minutes) to complete an change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 x 30), then the probability that an oil change job is completed in less than or equal to 22 minutes, i.e., P(x 22) is __________________.
a) 0.200
b) 0.300
c) 0.000
d) 0.250
e) 1.000
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
34. If x, the time (in minutes) to complete an change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 x 30), then the probability that an oil change job will be completed 24 minutes or more, i.e., P(x 24) is __________________.
a) 0.100
b) 0.000
c) 0.333
d) 0.600
e) 1.000
Ans:
Response: See section 6.1, The Uniform Distribution
Difficulty: Medium
35. The normal distribution is an example of _______.
a) a discrete distribution
b) a continuous distribution
c) a bimodal distribution
d) an exponential distribution
e) a binomial distribution
Ans:
Response: See section 6.2, Normal Distribution
Difficulty: Easy
36. The total area underneath any normal curve is equal to _______.
a) the mean
b) one
c) the variance
d) the coefficient of variation
e) the standard deviation
Ans:
Response: See section 6.2, Normal Distribution
Difficulty: Easy
37. The area to the left of the mean in any normal distribution is equal to _______.
a) the mean
b) 1
c) the variance
d) 0.5
e) -0.5
Ans:
Response: See section 6.2, Normal Distribution
Difficulty: Easy