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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) = 0.1 and P(Y= 6) = 0.3. Otherwise, Y has a continuous density function given by f(y) = -ye-Y/7 49 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 fo three minutes even if he talks less than three minutes. Find the 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 a random variable with the properties that P(Y= 3) = 0.1 and P(Y= 6) = 0.3. Otherwise, Y has a continuous density function given by f(y) = -ye-Y/7 49 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 fo three minutes even if he talks less than three minutes. Find the expected duration of a randomly selected long-distance call in minutes. min

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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10 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) = 0.1 and P(Y = 6) = 0.3. Otherwise, Y has a continuous density function given by f(y) = {=-=-ve-717/ 49 y > 0, elsewhere. IVIT NOTES ASK YOUR TEACHER 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:10 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) = 0.1 and P(Y = 6) = 0.3. Otherwise, Y has a continuous density function given by f(y) = {=-=-ve-717/ 49 y > 0, elsewhere. IVIT NOTES ASK YOUR TEACHER 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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