# The commute time for Cypress College students who drive from their home to the college follows a normal distribution with a mean of 26 minutes and a standard deviation of 8 minutes. If it takes a student 15 minutes to get to school, what would the percentile ranking for this student's commute time be?

The commute time for Cypress College students who drive from their home to the college follows a normal distribution with a mean of 26 minutes and a standard deviation of 8 minutes. If it takes a student 15 minutes to get to school, what would the percentile ranking for this student's commute time be?
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palatinizi
Here, $\mu =26$ and $\sigma =8$.
The percentile ranking for the student's (who takes 15 minutes to get to school) the commute time be,
$z=\frac{x-\mu }{\sigma }\phantom{\rule{0ex}{0ex}}=\frac{15-26}{8}\phantom{\rule{0ex}{0ex}}=-1.375$
Using Excel formula “=NORM.S.DIST(-1.375,TRUE)”, the percentile ranking for the student’s commute time be obtained as 0.08.