2.3 Show that Xn xa n x px(1 p)nx 1 B (a, n...
Question:
2.3 Show that Xn x¼a n
x
px(1 p)nx ¼
1 B
(a, n a þ 1)
ðp 0
ya1(1 y)na dy for any 0
(a, naþ1). Thus, if X is a binomial random variable with parameters n and p, the probability that X is less than or equal to a (a¼0, 1, . . . , n) is 1 Ip(a þ 1, n
a) ¼ I1p(n
a, a þ 1)
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Related Book For
Nonparametric Statistical Inference
ISBN: 9781420077612
5th Edition
Authors: Jean Dickinson Gibbons, Subhabrata Chakraborti
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