Show that the chance that an exponentially distributed variable takes on a value below its mean...

 

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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? 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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