The duration Y of long-distance telephone calls (in minutes) monitored by a station is a
Chapter 4, Problem 4.156(choose chapter or problem)
The duration Y of long-distance telephone calls (in minutes) monitored by a station is a random variable with the properties that P(Y = 3) = .2 and P(Y = 6) = .1. Otherwise, Y has a continuous density function given by f (y) = $ (1/4)yey/2, y > 0, 0, elsewhere. The discrete points at 3 and 6 are due to the fact that the length of the call is announced to the caller in three-minute intervals and the caller must pay for three minutes even if he talks less than three minutes. Find the expected duration of a randomly selected long-distance call.
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