SOLUTION: Let Y have a chi-square distribution with 15 degrees of freedom. Find the following probabilities. (a). P (Y ≤ y0) = 0.025 (b). P (a < Y < b) = 0.95 (c). P (Y ≥ 22.307).

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Question 1178444: Let Y have a chi-square distribution with 15 degrees of freedom. Find the following probabilities.
(a). P (Y ≤ y0) = 0.025
(b). P (a < Y < b) = 0.95
(c). P (Y ≥ 22.307).
thank you

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
(a) P (Y ≤ y0) = 0.025
==>


(b) P (a < Y < b) = 0.95
==> a = 6.26, b = 27.5

(c) P (Y ≥ 22.307) = 0.10

***Probabilities were obtained from https://stattrek.com/online-calculator/chi-square.aspx

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