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F.5 discrete prob.distribution

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5) http://i729.photobucket.com/albums/ww291/kaka1307/0289-1.jpg 9) http://i729.photobucket.com/albums/ww291/kaka1307/0290.jpg ans: 5a) 95/13 b)1440/169 9a)-$1/6, 42 833/36 b)no pls show clear steps.thx! 更新: what is the meaning of 14*2 ?

最佳解答:

5(a) Expected value = (2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 10 +10 + 10 + 11)(4/52) = 95/13 Variance = (4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 100 +100 + 100 + 121)(4/52) - (95/13)^2 = 3220/52 - 9025/169 = 1440/169 (b) Expected value = 950/13 Variance = 144000/169 9(a) Expected value = (9 + 14*2 + 21*3 + 30*4 + 41*5 + 54*6 + 69*5 + 86*4 + 105*3 + 126 *2 + 149)/36 - 60 = -1/6 (b) Variance = (9^2 + 14^2 *2 + 21^2 *3 + 30^2 *4 + 41^2 *5 + 54^2 *6 + 69^2 *5 + 86^2 *4 + 105^2 *3 + 126^2 *2 + 149^2)/36 - (2154/36)^2 = 42833/36 (b) No. because the expected value is negative.

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