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.
0.33
B.
0.27
C.
0.31
D.
0.3
E.
0.28
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.
8.97%
C.
47.05%
D.
14.92%
E.
74.75%
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.
52.66%
B.
83.15%
C.
82.28%
D.
70.88%
E.
60.15%
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.
73.46%
D.
13.89%
E.
46.96%
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.
0.12
B.
0.37
C.
0.24
D.
0.22
E.
0.26
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.
8.888
B.
5.712
C.
3.508
D.
9.372
E.
6.728
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.
16.073
B.
17.485
C.
7.831
D.
6.492
E.
10.486
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