"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." 5% of the video games (the bottom 5%) take less than ______ minutes to build.
A) 1.65
B) 11.80
C) 20
D) 28.20

Question

Quizplus · Accepted Answer

To find the time for the bottom 5%, we need to look for the value that corresponds to a cumulative area of 0.05 in a normal distribution table. Using the Z-score formula, we get:
Z = (X - μ) / σ
-1.645 = (X - 20) / 5
X = 11.775
Rounding to the nearest whole number, we get 12 minutes, which is the closest option to our calculated value. Therefore, the answer is B.

"Imagine You Are President of a Toy Company That Builds