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3.6.10. Suppose F has an F-distribution with parameters ri 5 and r2 = 10. Using only 95th percentiles of F-distributions, find a and b so that P(F

3.6.10. Suppose F has an F-distribution with parameters ri 5 and r2 = 10. Using only 95th percentiles of F-distributions, find a and b so that P(F

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3.6.10. Suppose F has an F-distribution with parameters ri 5 and r2 10. Using only 95th percentiles of F-distributions, find a and b so that P(F < a) = 0.05 and P(F <b) = 0.95, and, accordingly, P(a < F < b) = 0.90. Hint: Write P(F <a) = P(1/F > 1/a) = 1 - P(1/F < 1/a), and use the result of Exercise 3.6.9 and R.
Transcribed Image Text:3.6.10. Suppose F has an F-distribution with parameters ri 5 and r2 10. Using only 95th percentiles of F-distributions, find a and b so that P(F < a) = 0.05 and P(F <b) = 0.95, and, accordingly, P(a < F < b) = 0.90. Hint: Write P(F <a) = P(1/F > 1/a) = 1 - P(1/F < 1/a), and use the result of Exercise 3.6.9 and R.
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