Homework Help is Here – Start Your Trial Now!
Math
Statistics
let X be a binomial random variable with parameters n and θ1. Conditional on X = m, let Y be a binomial random variable with parameters m and θ2. (a) What is the marginal distribution of Y ? (b) Find the functions g(k) = E(Y |X = k) and v(k) = V ar(Y |X = k). Use these to find E(Y ) and V ar(Y ). (c) Find Covariance(X, Y ) and Correlation(X, Y ).

let X be a binomial random variable with parameters n and θ1. Conditional on X = m, let Y be a binomial random variable with parameters m and θ2. (a) What is the marginal distribution of Y ? (b) Find the functions g(k) = E(Y |X = k) and v(k) = V ar(Y |X = k). Use these to find E(Y ) and V ar(Y ). (c) Find Covariance(X, Y ) and Correlation(X, Y ).

Calculus For The Life Sciences
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.CR: Chapter 13 Review
Problem 31CR
See similar textbooks
icon
Related questions
Question

let X be a binomial random variable with parameters n and θ1. Conditional on X = m, let Y be a binomial random variable with parameters
m and θ2.
(a) What is the marginal distribution of Y ?
(b) Find the functions g(k) = E(Y |X = k) and v(k) = V ar(Y |X = k).
Use these to find E(Y ) and V ar(Y ).
(c) Find Covariance(X, Y ) and Correlation(X, Y ).

Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS