2. The time taken (in hours) by a response team to attend to a complaint is a continuous random variable X with probability density function f (x) ={4 7(4-x²), 0
2. The time taken (in hours) by a response team to attend to a complaint is a continuous random variable X with probability density function f (x) ={4 7(4-x²), 0
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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Transcribed Image Text:2.
The time taken (in hours) by a response team to attend to a complaint is a
continuous random variable X with probability density function
(4-x²), 0<x<2
f (x) =
otherwise.
(a)
Sketch the probability density function graph of f (x) and state the mode.
(€)
1
(b)
Find the cumulative distribution function, F(x) and hence find F
(c)
Determine the expected time to respond to the complaint.
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