Use the following information to answer questions . A package delivery service divides their packages into
weight classes. Suppose that the packages in the 14-20 pound class are uniformly distributed, meaning that all weights
within that class are equally likely to occur. The probability density curve is shown below.
-Find the probability that a randomly selected package will weigh less than 18 pounds.
A)0.67
B)0.80
C)0.20
D)0.30

Question

Use the following information to answer questions . A package delivery service divides their packages into
weight classes. Suppose that the packages in the 14-20 pound class are uniformly distributed, meaning that all weights
within that class are equally likely to occur. The probability density curve is shown below. 
-Find the probability that a randomly selected package will weigh less than 18 pounds.
A)0.67 
B)0.80 
C)0.20 
D)0.30

Quizplus · Accepted Answer

The probability that a randomly selected package will weigh less than 18 pounds is 0.67. This is because the mean weight of the packages is 20 pounds and the standard deviation is 4 pounds. Therefore, the z-score for a package that weighs 18 pounds is (18 - 20) / 4 = -0.5. The probability that a randomly selected package will have a z-score of -0.5 or less is 0.67.

Use the Following Information to Answer Questions