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49 The duration Y of long-distance telephone calls (in minutes) monitored by a station is a random variable with the properties that P(Y3) = 0.1 and P(Y = 6) = 0.2. Otherwise, Y has a continuous density function given by f(y)=36' 0, -ye-y/6 y > 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 in minutes. min

49 The duration Y of long-distance telephone calls (in minutes) monitored by a station is a random variable with the properties that P(Y3) = 0.1 and P(Y = 6) = 0.2. Otherwise, Y has a continuous density function given by f(y)=36' 0, -ye-y/6 y > 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 in minutes. min

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 29CR
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49 The duration Y of long-distance telephone calls (in minutes) monitored by a station is a random variable with the properties that P(Y3) = 0.1 and P(Y = 6) = 0.2. Otherwise, Y has a continuous density function given by f(y) 1 Ye-y/6 36 0, y > 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 in minutes. min
Transcribed Image Text:49 The duration Y of long-distance telephone calls (in minutes) monitored by a station is a random variable with the properties that P(Y3) = 0.1 and P(Y = 6) = 0.2. Otherwise, Y has a continuous density function given by f(y) 1 Ye-y/6 36 0, y > 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 in minutes. min
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