Dave drives to work each morning at about the same time. His commute time is normally distributed with a mean of 47 minutes and a standard deviation of 5 minutes. What percentage of time is his commute less than 52 minutes?

Question

Mathematics

Elena Rush

11 December, 22:13

Dave drives to work each morning at about the same time. His commute time is normally distributed with a mean of 47 minutes and a standard deviation of 5 minutes. What percentage of time is his commute less than 52 minutes?

+1

Answers (1)

Know the Answer?

German Cantu · Answer 1

0.15866

Step-by-step explanation:

First, we calculate z-score

Mathematically;

z-score = value-mean/SD

here, mean = 47, SD = 5 and value = 52

z-score = (52-47) / 5 = 5/5 = 1

The probability we want to calculate is;

P (z<1) and we can access this from the standard score table

P (Z<1) = 0.15866