Question: 15. Let X be binomially distributed with parameters n and p. Show that as k goes from 0 toI mage increases monotonically, then decreases monotonically,

15. Let X be binomially distributed with parameters n and p. Show that as k goes from 0 toI mage increases monotonically, then decreases monotonically, reaching its largest value

(a) in the case that Image is an integer, when k equals either or Image,

(b) in the case that Image is not an integer, when k satisfies Image.

Hint: ConsiderI mage and see for what values of k it is greater or less than 1.

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