The profit realized by the sales of a particular item follows a normal distribution with a mean of $0.5 million per quarter and a standard deviation of $0.1 million per quarter. What percent of the quarters can be expected to see a profit of at least $0.5 million?
A)50%
B)40%
C)60%
D)10%

Question

Quizplus · Accepted Answer

In a normal distribution, the mean represents the midpoint of the data. Therefore, 50% of the data falls below the mean and 50% falls above it. Since a profit of at least $0.5 million includes the mean and everything above it, 50% of the quarters can be expected to see a profit of at least $0.5 million.

The Profit Realized by the Sales of a Particular Item