A 1. It is known that if C = : then the pdf of C is given by B' fc(e) = | 16| fa.B(cb, b) db. Use the above result to show that if Z ~ N(0,1) and Y ~ x²(n) with Z and Y to be independent, then T - t(n).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1. It is known that if C =
then the pdf of C is given by
B'
fc(c) = | |6| fA,B(cb, b) db.
-00
Use the above result to show that if Z ~ N(0, 1) and Y ~ x²(n) with Z and Y to be
independent, then
T =
t(n).
Transcribed Image Text:1. It is known that if C = then the pdf of C is given by B' fc(c) = | |6| fA,B(cb, b) db. -00 Use the above result to show that if Z ~ N(0, 1) and Y ~ x²(n) with Z and Y to be independent, then T = t(n).
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