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.   0.091
B.   0.125
C.   0.143
D.   1.333
E.   0.167
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.   7 pounds.
B.   9 pounds.
C.   5.5 pounds.
D.   8 pounds.
E.   4 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.   2.02 pounds.
B.   2.31 pounds. 
C.   4.18 pounds.
D.   3.18 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.   92%
C.   42.22%
D.   88.89%
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.   86%
B.   56.25%
C.   38.33%
D.   41.43%
E.   68%
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.   63.75%
B.   61.11%
C.   63.33%
D.   48.00%
E.   45.56%
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.   13.75%
C.   98
D.   72
E.   71.11
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.   36%
B.   19%
C.   18.33%
D.   60%
E.   42.22%
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.   5.85
B.   1.78
C.   3.6
D.   2.44
E.   2.7
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.   6.28
C.   8.88
D.   9.56
E.   7.45

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