"Imagine you are president of a toy company that builds video games. You have determined that the time needed to build these games is normally distributed with a mean of 20 minutes and a standard deviation of 5 minutes." What percentage of video games are built in LESS than 15 minutes?
A) 15.87%
B) 19.15%
C) 34.13%
D) 84.13%

Question

Quizplus · Accepted Answer

To find the percentage of video games built in less than 15 minutes, we use the Z-score formula: Z = (X - μ) / σ, where X is the value (15 minutes), μ is the mean (20 minutes), and σ is the standard deviation (5 minutes). Plugging in the values, we get Z = (15 - 20) / 5 = -1. A Z-score of -1 corresponds to the left tail of the normal distribution, which is approximately 15.87% of the area under the curve.

"Imagine You Are President of a Toy Company That Builds