Bonus 2.(2') Suppose that a discrete random vector X = (X1, X2, X3) follows multinomial distribution with parameters n and (P1, P2, P3). (a) Let U = X₁, V = X2 + X3, what is the distribution of (U,V)? (b) What is the conditional distribution of (X1, X2)|X3 = x3?
Bonus 2.(2') Suppose that a discrete random vector X = (X1, X2, X3) follows multinomial distribution with parameters n and (P1, P2, P3). (a) Let U = X₁, V = X2 + X3, what is the distribution of (U,V)? (b) What is the conditional distribution of (X1, X2)|X3 = x3?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
Related questions
Question
please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearly
![Bonus 2.(2')
Suppose that a discrete random vector X = (X1, X2, X3) follows
multinomial distribution with parameters n and (P1, P2, P3).
(a) Let U = X₁, V = X2 + X3, what is the distribution of (U,V)?
(b) What is the conditional distribution of (X1, X2)|X3 = x3?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F155f73ab-1d7c-4829-acdf-a200cc7739e8%2F55ceebd7-0435-4dbd-b6d3-ad2c5ea4816e%2Fiimb5il_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Bonus 2.(2')
Suppose that a discrete random vector X = (X1, X2, X3) follows
multinomial distribution with parameters n and (P1, P2, P3).
(a) Let U = X₁, V = X2 + X3, what is the distribution of (U,V)?
(b) What is the conditional distribution of (X1, X2)|X3 = x3?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Similar questions
Recommended textbooks for you
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage