a.
Find an expression for
a.
Answer to Problem 112E
The expression for
Explanation of Solution
Note that a random variable is said to be a chi-square distribution with
Consider,
Therefore, it is proved that
Now, substitute
b.
Explain the reason why Part a requires
b.
Explanation of Solution
The answer in Part a has to be satisfied that
Thus, the function
c.
Find an expression for
Find one assumption about
c.
Answer to Problem 112E
The expression for
Explanation of Solution
The answer in Part a is as follows:
Substitute
Therefore, the value of
d.
Use the results in Part a to find an expression for
Identify the value of
d.
Explanation of Solution
The result in Part a is as follows:
Case1:
Substitute
Thus, in this case, one needs to assume the value of
Case 2:
Substitute
Therefore, the value of
Case3:
Substitute
Thus, value of
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Chapter 4 Solutions
EBK MATHEMATICAL STATISTICS WITH APPLIC
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