Use the following information to answer questions (3)-(4). 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 package weighs between 14 and 18 pounds?
A)0.67
B)0.33
C)0.40
D)0.80

Question

Use the following information to answer questions (3)-(4). 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 package weighs between 14 and 18 pounds?
A)0.67 
B)0.33 
C)0.40 
D)0.80

Quizplus · Accepted Answer

The probability of an event occurring between two points in a probability distribution (like weights between 14 and 18 pounds) is calculated by finding the area under the curve between those two points. Without specific information about the distribution, we can't calculate the exact probability. However, if this is based on a standard normal distribution or any symmetric distribution centered around a mean that falls between 14 and 18 pounds, and if 14 and 18 pounds are equidistant from the mean, then choice A (0.67) could be a plausible answer assuming it represents about two-thirds of the data falling within one standard deviation from the mean. This is a common approximation for many distributions, but without more context, this is a speculative explanation.

Use the Following Information to Answer Questions (3)-(4)