A random variable Y has a gamma distribution with ? = 3.5

Chapter 6, Problem 47E

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QUESTION:

A random variable \(Y\) has a gamma distribution with \(\alpha=3.5\) and \(\beta=4.2\) Use the result in Exercise  and the percentage points for the \(X^{2}\) distributions given in Table 6, Appendix 3 . to find \(P(Y>33.627)\)

Equation Transcription:

Text Transcription:

Y

\alpha=3.5

\beta=4.2

X^2

P(Y>33.627)

Questions & Answers

QUESTION:

A random variable \(Y\) has a gamma distribution with \(\alpha=3.5\) and \(\beta=4.2\) Use the result in Exercise  and the percentage points for the \(X^{2}\) distributions given in Table 6, Appendix 3 . to find \(P(Y>33.627)\)

Equation Transcription:

Text Transcription:

Y

\alpha=3.5

\beta=4.2

X^2

P(Y>33.627)

ANSWER:

Step 1 of 2

Since  we know that  has a chi-square distribution with 7 degrees of freedom.

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