3. Recall (from Hw5) the hazard rate: fx(x) 1- Fx(x)' hx(x) Suppose that X is a continuous random variable with density fx(x) = ale-x + (1 – a)µe¯x, for x > 0 for 0 < a <1 and 0 < 2 < µ. X is then called a mixture density. Compute the hazard rate hx(x) and show that lim hỵ(x) = a.
3. Recall (from Hw5) the hazard rate: fx(x) 1- Fx(x)' hx(x) Suppose that X is a continuous random variable with density fx(x) = ale-x + (1 – a)µe¯x, for x > 0 for 0 < a <1 and 0 < 2 < µ. X is then called a mixture density. Compute the hazard rate hx(x) and show that lim hỵ(x) = a.
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:3. Recall (from HW5) the hazard rate:
fx(x)
hx(x)
1- Fx(x)'
Suppose that X is a continuous random variable with density
fx(x) = ale-ax + (1– a)µe¬Hx, for x > 0
%3D
for 0 < a <1 and 0 <1 < µ. X is then called a mixture density. Compute the hazard rate
hx(x) and show that lim hx(x) = a.
ズ→0
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