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.
0.125
B.
0.167
C.
0.143
D.
1.333
E.
0.091
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.
4 pounds.
C.
8 pounds.
D.
7 pounds.
E.
5.5 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.
1.73 pounds.
C.
4.18 pounds.
D.
3.18 pounds.
E.
2.31 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.
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.
38.33%
B.
56.25%
C.
86%
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.
45.56%
B.
63.75%
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.
72
B.
13.75%
C.
98
D.
71.11
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.
60%
B.
19%
C.
36%
D.
42.22%
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.
1.78
D.
2.44
E.
3.6
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.
7.45
C.
9.56
D.
6.28
E.
8.88
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