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Balls numbered 1 through N are in an urn. Suppose that n of them are randomly
selected without replacement. Let Y denote the largest number selected. Find
the probability mass function of Y.
Solution
P(Y=i)=C(i-1,n-1)/C(N, n) where n<=i<=N.
Balls numbered 1 through N are in an urn. Suppose that n of them are.pdf
Balls numbered 1 through N are in an urn. Suppose that n of them are randomly
selected without replacement. Let Y denote the largest number selected. Find
the probability mass function of Y.
Solution
P(Y=i)=C(i-1,n-1)/C(N, n) where n<=i<=N