A number is chosen at random from the integers 1, 2, 3, , n Let X be the number chosen Show that E(X) (n 1) 2 and V (X) (n minus 1)(n 1) 12 Hint The following identity may be useful 12 2 n (n)(n 1)(2n 1)...

A number is chosen at random from the integers 1, 2, 3, . . . , n.

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A number is chosen at random from the integers 1, 2, 3, . . . , n. Let X be the number chosen. Show that E(X) = (n+1)/2 and V (X) = (n−1)(n+1)/12. Hint: The following identity may be useful:

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Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

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Question Posted: Apr 08, 2010 05:59 AM

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A number is chosen at random from the integers 1, 2, 3, . . . , n.

Question:

12+2 +...+ n? - (n)(n+1)(2n + 1)

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EX 12 nn n 1...View the full answer

Finite Mathematics and Its Applications

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