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.
1.333
B.
0.091
C.
0.143
D.
0.125
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.
9 pounds.
B.
8 pounds.
C.
4 pounds.
D.
5.5 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.
3.18 pounds.
D.
2.31 pounds.
E.
2.02 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.
88.89%
B.
42.22%
C.
92%
D.
71.25%
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.
68%
C.
38.33%
D.
56.25%
E.
41.43%
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.
45.56%
C.
48.00%
D.
61.11%
E.
63.33%
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.
71.11
B.
13.75%
C.
98
D.
72
E.
98.33
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.
18.33%
B.
60%
C.
19%
D.
36%
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.
3.6
B.
1.78
C.
5.85
D.
2.7
E.
2.44
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.
7.45
B.
9.56
C.
6.28
D.
8.88
E.
9
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