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.
0.167
C.
0.125
D.
0.091
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.
5.5 pounds.
C.
9 pounds.
D.
4 pounds.
E.
7 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.
1.73 pounds.
B.
4.18 pounds.
C.
2.31 pounds.
D.
2.02 pounds.
E.
3.18 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.
42.22%
B.
88.89%
C.
71.25%
D.
92%
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.
56.25%
B.
41.43%
C.
68%
D.
86%
E.
38.33%
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.
71.11
C.
98
D.
13.75%
E.
72
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.
42.22%
B.
36%
C.
19%
D.
60%
E.
18.33%
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.
2.7
B.
5.85
C.
2.44
D.
3.6
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.
6.28
C.
8.88
D.
9.56
E.
7.45
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