Assume that the interval between buses at rush hour is exponentially distributed, with an average value of 3 min. Show that the interval in which a randomly arriving customer arrives has a mean value...

Assume that the interval between buses at rush hour is exponentially distributed, with an average value of 3 min. Show that the interval in which a randomly arriving customer arrives has a mean value of 6 min and has a twostage Erlangian distribution.

Derive an expression for the duration of a busy period that begins with j messages rather than one message as in the foregoing. This is called the j busy period.