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 32 minutes?
A) .9701
B) .1995
C) .9192
D) .0808

Question

Quizplus · Accepted Answer

We need to find the probability of the trip taking more than 32 minutes. We can standardize the random variable X (time taken to travel from home to office) as follows:

Z = (X - μ) / σ

Z = (32 - 25) / 5

Z = 1.4

We can then find the probability using the standard normal distribution table or calculator:

P(Z > 1.4) = 1 - P(Z ≤ 1.4) = 1 - 0.9192 = 0.0808

Therefore, the probability the trip takes more than 32 minutes is approximately 0.0808. The correct choice is D.

The Time It Takes to Travel from Home to the Office