a student whose earliest class on Tuesdays starts at 10 am. Before class, she finds a...
a student whose earliest class on Tuesdays starts at 10 am. Before class, she finds a parking spot on average 5 mins.
A) if the time to find a parking spot is exponentially distributed, what is the standard deviation of time to find a parking spot? what about the Coefficient of Variation?
B) Also assume they walk from any parking spot in 4 mins. with this assumption at what time should they should arrive at the school so that 95% of the time they will not be late to class?
Homework Answers
A)
this is exponential distribution with parameter β =5
| mean μ = | =β = | 5.00 |
| standard deviation σ= | =β = | 5.00 |
therefore coefficient of variation =( σ/μ)*100 =(5/5)*100 =100 %
B)
| pth percentile =-β*ln(1-p) |
| therfore 95th percentile =-5*ln(1-95/100)= | 14.9787~ 15 minute | |||
therefore they must arrive (15+4 =19) minute earlier or at 9:41 am to not to be late to class,
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