5. (i) Show that the chance that an exponentially distributed variable takes on a value below its mean is more than 60% and that the chance that the value will be below half Tof the mean is almost 40%. (ii) When are exponentially distributed interarrival (service) times reasonable / unrea- sonable for a queuing system?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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5. (i) Show that the chance that an exponentially distributed variable takes on a value
below its mean is more than 60% and that the chance that the value will be below half
of the mean is almost 40%.
(ii) When are exponentially distributed interarrival (service) times reasonable / unrea-
sonable for a queuing system?
Transcribed Image Text:5. (i) Show that the chance that an exponentially distributed variable takes on a value below its mean is more than 60% and that the chance that the value will be below half of the mean is almost 40%. (ii) When are exponentially distributed interarrival (service) times reasonable / unrea- sonable for a queuing system?
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