Solution Found!
Suppose that Y is a ? 2 distributed random variable with ?
Chapter 4, Problem 154E(choose chapter or problem)
Problem 154E
Suppose that Y is a χ 2 distributed random variable with ν = 7 degrees of freedom.
a What are the mean and variance of Y ?
b Is it likely that Y will take on a value of 23 or more?
c Applet Exercise Use the applet Gamma Probabilities and Quantiles to find P(Y > 23).
Questions & Answers
QUESTION:
Problem 154E
Suppose that Y is a χ 2 distributed random variable with ν = 7 degrees of freedom.
a What are the mean and variance of Y ?
b Is it likely that Y will take on a value of 23 or more?
c Applet Exercise Use the applet Gamma Probabilities and Quantiles to find P(Y > 23).
ANSWER:
Solution:
Step 1 of 4:
It is given that the random variable Y has the Chi-square distribution with degrees of freedom 7.
Using this we need to find the required values.