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?

valtricotinevh

valtricotinevh

Answered question

2022-07-22

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?

Answer & Explanation

palatinizi

palatinizi

Beginner2022-07-23Added 3 answers

Here, μ = 26 and σ = 8.
The percentile ranking for the student's (who takes 15 minutes to get to school) the commute time be,
z = x μ σ = 15 26 8 = 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.

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