Homework Help is Here – Start Your Trial Now!
Math
Probability
The random variable X has a gamma(ax, 3) distribution; ie X has pdf: g-le-z/B for a > 0 and 0 otherwise. T(α)3⁰ fx(x) Show all workings for full marks. X-aß (a) Determine the pdf of Z (fz(z)), using a transformation method used in this course. In your workings include the bounds of Z. Show all workings.

The random variable X has a gamma(ax, 3) distribution; ie X has pdf: g-le-z/B for a > 0 and 0 otherwise. T(α)3⁰ fx(x) Show all workings for full marks. X-aß (a) Determine the pdf of Z (fz(z)), using a transformation method used in this course. In your workings include the bounds of Z. Show all workings.

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
The random variable X has a gamma(a, 3) distribution; ie X has pdf: 1ª-1-1/8 e I(α) 3⁰ fx(x) = Show all workings for full marks. for a > 0 and 0 otherwise. X-aß (a) Determine the pdf of Z (fz(z)), using a transformation method used in this course. In your workings include the bounds of Z. Show all workings.
Transcribed Image Text:The random variable X has a gamma(a, 3) distribution; ie X has pdf: 1ª-1-1/8 e I(α) 3⁰ fx(x) = Show all workings for full marks. for a > 0 and 0 otherwise. X-aß (a) Determine the pdf of Z (fz(z)), using a transformation method used in this course. In your workings include the bounds of Z. Show all workings.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
(c) When a is large, the gamma distribution is well approximated by the normal distribution with the same mean and variance. Using this result, determine 'by hand' the approximate value of P (X < 45) where X gamma(25, 2). The result can be confirmed by RStudio if desired.
Transcribed Image Text:(c) When a is large, the gamma distribution is well approximated by the normal distribution with the same mean and variance. Using this result, determine 'by hand' the approximate value of P (X < 45) where X gamma(25, 2). The result can be confirmed by RStudio if desired.
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question
(b) Determine the pdf of Y = ln X (fy (y)), using a transformation method used in this course. In your workings include the bounds of Y. Show all workings.
Transcribed Image Text:(b) Determine the pdf of Y = ln X (fy (y)), using a transformation method used in this course. In your workings include the bounds of Y. Show all workings.
Solution
Bartleby Expert
SEE SOLUTION
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