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 more than 40 minutes?
A) .0013
B) .0130
C) .9987
D) .9990

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 more than 40 minutes?​
A) ​.0013
B) ​.0130
C) ​.9987
D) ​.9990

Quizplus · Accepted Answer

To find the probability that the trip takes more than 40 minutes, we calculate the Z-score for 40 minutes using the formula Z = (X - μ) / σ, where X is 40, μ is 25, and σ is 5. This gives us Z = (40 - 25) / 5 = 15 / 5 = 3. A Z-score of 3 corresponds to a probability of 0.9987 that a value is less than 40 minutes, so the probability of more than 40 minutes is 1 - 0.9987 = 0.0013.

The Time It Takes to Travel from Home to the Office