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.   0.31
B.   0.33
C.   0.28
D.   0.3
E.   0.27
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.   47.05%
B.   74.75%
C.   14.92%
D.   8.97%
E.   82.71%
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.   60.15%
B.   52.66%
C.   70.88%
D.   82.28%
E.   83.15%
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.   13.89%
B.   41.73%
C.   46.96%
D.   73.46%
E.   28.48%
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.   0.37
C.   0.12
D.   0.24
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.   3.508
B.   8.888
C.   9.372
D.   6.728
E.   5.712
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.   7.831
B.   10.486
C.   6.492
D.   16.073
E.   17.485

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