Question: Let F(x)=0 for x < 0, with F(x) = 1/3 for 0 < x < 2/5, and F(x) = 3/4 for 2/5x4/5, and F(x)

Let F(x)=0 for x < 0, with F(x) = 1/3 for 0 < x < 2/5, and F(x) = 3/4 for 2/5x4/5, and F(x) = 1 for x > 4/5. Let G(x) = 0 for x < 0, with G(x) = 1 ex for x 0. Let F and G be as in the previous two exercises. Let H(x) = (1/3)F(x)+ (2/3)G(x). Suppose Z has cumulative distribution function equal to H. Com- pute each of the following. P(Z=1/2) P(Z=3/5)

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