Homework Help is Here – Start Your Trial Now!
Math
Probability
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

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...
See similar textbooks
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS