SOM 307 - Data Analysis and Modeling » Fall 2021 » Normal Distribution 7
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Question #1
Packages in a package delivery service are divided into weight classes. Suppose the weight of the packages, X, in a specific class are Normally distributed between with the mean (average) of 5 pounds, and standard deviation of 1.5 pounds. Compute the Coefficient of Variations of this Normal random variable.
A.
0.3
B.
0.27
C.
0.33
D.
0.28
E.
0.31
Question #2
Packages in a package delivery service are divided into weight classes. Suppose the weight of the packages, X, in a specific class are Normally distributed between with the mean (average) of 5 pounds, and standard deviation of 1.5 pounds. Compute the probability that a package weighs at most 6 pounds.
A.
82.71%
B.
74.75%
C.
47.05%
D.
8.97%
E.
14.92%
Question #3
Packages in a package delivery service are divided into weight classes. Suppose the weight of the packages, X, in a specific class are Normally distributed between with the mean (average) of 5 pounds, and standard deviation of 1.5 pounds. Compute the probability that a package weighs at least 4.9 pounds.
A.
83.15%
B.
70.88%
C.
52.66%
D.
60.15%
E.
82.28%
Question #4
Packages in a package delivery service are divided into weight classes. Suppose the weight of the packages, X, in a specific class are Normally distributed between with the mean (average) of 5 pounds, and standard deviation of 1.5 pounds. Find the probability that a package weighs between 4.6 and 5.7 pounds.
A.
28.48%
B.
41.73%
C.
46.96%
D.
13.89%
E.
73.46%
Question #5
Packages in a package delivery service are divided into weight classes. Suppose the weight of the packages, X, in a specific class are Normally distributed between with the mean (average) of 5 pounds, and standard deviation of 1.5 pounds. Compute the probability that a package weighs between 4.7 and 3.5 pounds.
A.
0.22
B.
0.26
C.
0.12
D.
0.37
E.
0.24
Question #6
Packages in a package delivery service are divided into weight classes. Suppose the weight of the packages, X, in a specific class are Normally distributed between with the mean (average) of 5 pounds, and standard deviation of 1.5 pounds. Compute the maximum weight for the lower 16 % of the packages.
A.
5.712
B.
8.888
C.
6.728
D.
9.372
E.
3.508
Question #7
Packages in a package delivery service are divided into weight classes. Suppose the weight of the packages, X, in a specific class are Normally distributed between with the mean (average) of 5 pounds, and standard deviation of 1.5 pounds. Find the minimum weight for the heaviest 16 % of the packages.
A.
6.492
B.
17.485
C.
10.486
D.
7.831
E.
16.073
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