Let X ¼ Bin(n, p). a. Show that if x is an integer between 1 and n
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a. Show that if x is an integer between 1 and n inclusive, then
b. Show that if X ¼ Bin(n, p), the most probable value for X is the greatest integer less than or equal to np + p. Use part (a) to show that P(X = x) ¥ P(X = x 1) if and only if x ¤ np + p.
Transcribed Image Text:
п — х +1 Р (X — х) 1- p Р(X — х — 1) х
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