Please answer all four parts of the question and show all work. Thank you!
Given an arrival rate (lambda and in terms “so many arrivals per time unit) and an X, where X is defined on the same time unit as lambda, that is, if lambda is 20 per hour, then X is not 5 minutes, it is 5/60 of an hour).
Prob (next arrival less than X) = 1- e-λX
here λ =50/minute =(50/60) /seconds =0.8333 autos/seconds
a)
P(X<3)=1-exp(-0.833*3)= | 0.9179 |
b)
P(X<1)=1-exp(-0.833*1)= | 0.5654 |
c)
P(X>2)=1-P(X<2)=1-(1-exp(-0.833*2))= | 0.1889 |
d)
P(1<X<2.5)=(1-exp(-0.833*2.5)-(1-exp(-0.833*1))= | 0.3101 |
Please answer all four parts of the question and show all work. Thank you! Given an...
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