The time it takes to travel from home to the office is normally distributed with μ = 25 minutes and σ = 5 minutes. What is the probability the trip takes between 20 and 30 minutes?
A) .3413
B) .4206
C) .6826
D) .8413

Question

The time it takes to travel from home to the office is normally distributed with μ = 25 minutes and σ = 5 minutes. What is the probability the trip takes between 20 and 30 minutes?​
A) ​.3413
B) ​.4206
C) ​.6826
D) ​.8413

Quizplus · Accepted Answer

We need to find the probability that the trip takes between 20 and 30 minutes, which is the same as finding the area under the standard normal curve between z = (20-25)/5 = -1 and z = (30-25)/5 = 1. Using a standard normal table or calculator, we find that the area between z = -1 and z = 1 is approximately 0.6826. Therefore, the probability the trip takes between 20 and 30 minutes is 0.6826.

The Time It Takes to Travel from Home to the Office