# total 6 marks 511 755

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Unformatted text preview: ............................................................................... (Total 6 marks) 523 767. A discrete random variable X has its probability distribution given by P(X = x) = k(x + 1), where x is 0, 1, 2, 3, 4. (a) Show that k = (b) 1 15 Find E(X). ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... (Total 6 marks) 524 π 768. The function f′ is given by f′(x) = 2sin 5 x − . 2 (a) Write down f″(x). (b) π Given that f = 1, find f(x). 2 ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ...................................................................................................................
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## This note was uploaded on 06/24/2013 for the course HISTORY exam taught by Professor Apple during the Fall '13 term at Berlin Brothersvalley Shs.

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