Question

Case: With limited space at the university, the facility manager studied students’ transportation mode to campus and the length of parking time.

The study has shown that student’s park their car at an average of 3.5 hours with a standard deviation of 0.5 hours.

i) Calculate the probability that the student park more than 3.5 hours.

ii) Calculate the probability that the students park between 2 to 4 hours.           

iii) Provide your recommendation based on the probability study.

Answer 1

Let X denote the time (in hours) for which a student parks their car.

Then

i)

Required probability =

ii)

Required probability =

iii)

From i) and ii) we see that almost 84% students park their vehicles for 2 to 4 hours and 50% students park it for more than 3.5 hours.

So, students should be given incentive to park their vehicles in the hours when less occupancy is there so that the parking isn't overcrowded.