2 Find the following probabilities, where x² has a Chi- squared distribution with degrees of freedom. (a) v = 30: P(x² ≥ 18.493) (b) v = 10: P(x² ≤7.267) (c) v = 15: = = P(8.547 ≤ x² ≤ 22.307) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 42CR
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2
Find the following probabilities, where x² has a Chi-
squared distribution with degrees of freedom.
(a) v = 30:
P(x² ≥ 18.493)
(b) v = 10:
P(x² ≤7.267)
(c) v = 15:
=
(d) v = 20:
=
P(8.547 ≤ x² ≤ 22.307)
P(|x²| ≤ 25.038)
=
=
Transcribed Image Text:2 Find the following probabilities, where x² has a Chi- squared distribution with degrees of freedom. (a) v = 30: P(x² ≥ 18.493) (b) v = 10: P(x² ≤7.267) (c) v = 15: = (d) v = 20: = P(8.547 ≤ x² ≤ 22.307) P(|x²| ≤ 25.038) = =
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