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'3.98 Consider the negative binomial distribution given in Definition 3.9. p(y) a Show that if y > r + 1, |q. This establishes a recursive relation- P(y – 1) ship between successive negative binomial probabilities, because p(y) = p(y – 1) x |q. > lifty b Show that p(y) r - 9 Similarly, p(y) < 1 if %3D p(y – 1) r - 9 y > 1- 9 c Apply the result in part (b) for the case r = 7, p = .5 to determine the values of y for which p(y) > p(y – 1). 1-9 Ру — 1)

'3.98 Consider the negative binomial distribution given in Definition 3.9. p(y) a Show that if y > r + 1, |q. This establishes a recursive relation- P(y – 1) ship between successive negative binomial probabilities, because p(y) = p(y – 1) x |q. > lifty b Show that p(y) r - 9 Similarly, p(y) < 1 if %3D p(y – 1) r - 9 y > 1- 9 c Apply the result in part (b) for the case r = 7, p = .5 to determine the values of y for which p(y) > p(y – 1). 1-9 Ру — 1)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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*3.98 Consider the negative binomial distribution given in Definition 3.9. p(y) P(y – 1) q. This establishes a recursive relation- a Show that if y > r + 1, ship between successive negative binomial probabilities, because p(y) = p(y – 1) x q. V -r p(y) p(y – 1) p(y) p(y – 1) b Show that q > 1 if y < Similarly, 1- 9 < 1 if %3D y > c Apply the result in part (b) for the case r = 7, p = .5 to determine the values of y for which p(y) > p(y – 1).
Transcribed Image Text:*3.98 Consider the negative binomial distribution given in Definition 3.9. p(y) P(y – 1) q. This establishes a recursive relation- a Show that if y > r + 1, ship between successive negative binomial probabilities, because p(y) = p(y – 1) x q. V -r p(y) p(y – 1) p(y) p(y – 1) b Show that q > 1 if y < Similarly, 1- 9 < 1 if %3D y > c Apply the result in part (b) for the case r = 7, p = .5 to determine the values of y for which p(y) > p(y – 1).
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