Definition 6.4. A continuous random variable X is said to have a chi-square distribution with r degrees of freedom if its probability density function is of the form 1 if 0 0. If X has a chi-square distribution, then we denote it by writing X ~ x²(r). 17. If the random variable Y has a chi-square distribution with 54 degrees of freedom, then what is the approximate 84th percentile of Y?

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show your solution  given this definition

Definition 6.4. A continuous random variable X is said to have a chi-square
distribution with r degrees of freedom if its probability density function is of
the form
1
if 0<x < o∞
r(5) 25 a5-1e-
f(x) =
otherwise,
where r > 0. If X has a chi-square distribution, then we denote it by writing
X ~ x²(r).
17. If the random variable Y has a chi-square distribution with 54 degrees
of freedom, then what is the approximate 84h percentile of Y?
Transcribed Image Text:Definition 6.4. A continuous random variable X is said to have a chi-square distribution with r degrees of freedom if its probability density function is of the form 1 if 0<x < o∞ r(5) 25 a5-1e- f(x) = otherwise, where r > 0. If X has a chi-square distribution, then we denote it by writing X ~ x²(r). 17. If the random variable Y has a chi-square distribution with 54 degrees of freedom, then what is the approximate 84h percentile of Y?
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