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1. (5 points) Consider the function F(u) = 0 if u < 1, ( u1 10 ) 10 if 1 u < 11, 1 if

1. (5 points) Consider the function F(u) = 0 if u < 1, ( u1 10 ) 10 if 1 u < 11, 1 if 11 u. (a) F(u) is not a cdf. (b) F(u) is a cdf only for 1 u < 11. (c) F(u) is a cdf with pdf f(u) = (u1 10 ) 9 for all u. (d) F(u) is a cdf with pdf f(u) = (u1 10 ) 9 I(1,11)(u). (e) F(u) is a cdf with pmf p(u) = ( u1 10 ) 10 ( u2 10 ) 10 for u = 2, . . . , 11.

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