Question
Packages in a package delivery service are divided into weight classes. Suppose the weight of the packages, X, in a specic class are Normally distributed
Packages in a package delivery service are divided into weight classes. Suppose the weight of the packages, X, in a specic class are Normally distributed between with the mean (average) of 8 pounds, and standard deviation of 2.5 pounds.
1. Compute the Coecient of Variations of this Normal random variable.
The potential answers are:
A: 0.33
B: 0.27
C: 0.31
D: 0.29
E: 0.25
2. Compute the probability that a package weighs at most 5.4 pounds.
The potential answers are:
A: 61.79%
B: 8.97%
C: 47.05%
D: 14.92%
E: 54.97%
3. Compute the probability that a package weighs at least 5.6 pounds.
The potential answers are:
A: 70.88%
B: 83.15%
C: 82.28%
D: 11.51%
E: 73.4%
4. Find the probability that a package weighs between 5.9 and 9.1 pounds.
The potential answers are:
A: 46.96%
B: 73.46%
C: 41.73%
D: 55.44%
E: 32.68%
5. Compute the probability that a package weighs between 8.4 and 7 pounds.
The potential answers are:
A: 0.2
B: 0.12
C: 0.24
D: 0.37
E: 0.22
6. Compute the maximum weight for the lower 18 % of the packages.
The potential answers are:
A: 3.927
B: 9.372
C: 6.728
D: 8.888
E: 5.712
7. Find the minimum weight for the heaviest 16 % of the packages.
The potential answers are:
A: 7.831
B: 16.073
C: 11.471
D: 10.486
E: 10.02
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