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The duration Y of long-distance telephone calls (in minutes) monitored by a station is random variable with the properties that P(Y= 3) = 0.2 and P(Y= 6) = 0.3. Otherwise, Y has a continuous density function given by {ve-v13, 0, f(y) = 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 he expected duration of a randomly selected long-distance call in minutes. min

The duration Y of long-distance telephone calls (in minutes) monitored by a station is random variable with the properties that P(Y= 3) = 0.2 and P(Y= 6) = 0.3. Otherwise, Y has a continuous density function given by {ve-v13, 0, f(y) = 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 he 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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14 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) = 0.2 and P(Y6)= 0.3. Otherwise, Y has a continuous density function given by ye-y/3 f(y) = 9 0, min 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.
Transcribed Image Text:14 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) = 0.2 and P(Y6)= 0.3. Otherwise, Y has a continuous density function given by ye-y/3 f(y) = 9 0, min 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.
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