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(1) [4 Pts] let X be a continuous r.v. with pdf f(x) = 3(1 -x)2, 0 0.4). (2) [4 Pts] Let Z be a standard

(1) [4 Pts] let X be a continuous r.v. with pdf f(x) = 3(1 -x)2, 0 0.4). (2) [4 Pts] Let Z be a standard normal random variable and calculate the following prob- abilities, drawing pictures wherever appropriate (a) P(Z 4.5); (d) P(-1.5

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