The time required to travel downtown at 10 a.m.on Monday morning is known to be normally distributed with a mean of 40 minutes and a standard deviation of 5 minutes.What is the probability that it will take less than 35 minutes?
A)0.84134
B)0.15866
C)0.53983
D)0.46017
E)None of the above

Question

Quizplus · Accepted Answer

First, we need to standardize the value of 35 minutes using z-score formula: z = (35-40)/5 = -1. With a standard normal distribution table, we can find the probability that a z-score is less than -1, which is 0.15866. Therefore, the probability that it will take less than 35 minutes is 0.15866.

The Time Required to Travel Downtown at 10 A