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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