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

Question

Quizplus · Accepted Answer

We need to find the probability that it will take less than 35 minutes to travel downtown.

Using the z-score formula: z = (x - mean) / standard deviation

z = (35 - 40) / 5 = -1

Using a standard normal distribution table, the probability of getting a z-score less than -1 is 0.15866.

Therefore, the probability that it will take less than 35 minutes is 0.15866 or 15.866%.

So, the best choice is B.

The Time Required to Travel Downtown at 10 A