SOM 307 - Data Analysis and Modeling » Fall 2021 » Uniform Distribution 10

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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 uniformly distributed between 1 and 7 pounds. Compute f(x) for 1 <= x <= 7.
A.   0.143
B.   0.091
C.   0.125
D.   0.167
E.   1.333
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 uniformly distributed between 1 and 7 pounds. Compute the average weight of a package. E(x)=(b+a)/2.
A.   8 pounds.
B.   4 pounds.
C.   5.5 pounds.
D.   7 pounds.
E.   9 pounds.
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 uniformly distributed between 1 and 7 pounds. Compute the standard deviation of the weight of a package. VAR(x)=[(b- a)Squared]/12.
A.   3.18 pounds.
B.   2.31 pounds. 
C.   4.18 pounds.
D.   2.02 pounds.
E.   1.73 pounds.
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 uniformly distributed between 1 and 7 pounds. Compute the probability that a package weighs at most 4.3 pounds.
A.   71.25%
B.   88.89%
C.   92%
D.   42.22%
E.   55%
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 uniformly distributed between 1 and 7 pounds. Compute the probability that a package weighs at least 4.7 pounds.
A.   41.43%
B.   86%
C.   68%
D.   38.33%
E.   56.25%
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 uniformly distributed between 1 and 7 pounds. Find the probability that a package weighs between 1.9 and 5.7 pounds.
A.   61.11%
B.   63.33%
C.   45.56%
D.   48.00%
E.   63.75%
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 uniformly distributed between 1 and 7 pounds. Compute the probability that a package weighs between 1.1 and 7.59 pounds.
A.   98.33
B.   72
C.   13.75%
D.   71.11
E.   98
Question #8
Packages in a package delivery service are divided into weight classes. Suppose the weight of the packages, x, in a specific class are uniformly distributed between 1 and 7 pounds. Compute the probability that a package weighs between 0 and 2.1 pounds.
A.   19%
B.   42.22%
C.   18.33%
D.   36%
E.   60%
Question #9
Packages in a package delivery service are divided into weight classes. Suppose the weight of the packages, x, in a specific class are uniformly distributed between 1 and 7 pounds. Compute the maximum weight for the lower 13 % of the packages.
A.   2.44
B.   2.7
C.   3.6
D.   5.85
E.   1.78
Question #10
Packages in a package delivery service are divided into weight classes. Suppose the weight of the packages, x, in a specific class are uniformly distributed between 1 and 7 pounds. Find the minimum weight for the heaviest 12 % of the packages.
A.   9
B.   9.56
C.   8.88
D.   6.28
E.   7.45

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