Question

Cars arrive at a tollbooth (distributed exponentially with arrival intervals of 1 minute). The
serving by the tollbooth takes 30 seconds with a standard deviation of 30 seconds (one
tollbooth, infinite target group). A car that stands still costs 0.2 cents in gas. Calculate the
amount of money used for extra gas ‘due to’ the tollbooth.

Answer 1

Arrival interval Arrival rate 4 1 permenute ser, ving by the toll booth takes 30 sec y 0 - 30 le = 30 since sevin follow exponential distribution . ) + Flt) = 1 o - at f(t) = 2 é Stre-at & Elt) = tap-2t min d I min - 0.2 cents I min - 0.2x + = 0.1 couts 2 . OPPO F11