Let X be a random variable whose density is given by the formula f(x) =  cx2  if    x ∈ (0, 2)           0     if   otherwise. (a) Find c. (b) Let Y be the integer part of X, i.e., Y = 0 if 0 ≤ X < 1 and Y = 1 if 1 ≤ X < 2. Let Z be the fraction

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