Suppose that the distribution function of x is given by f ( b ) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ 0 b < 0 b 4 0 ≤ b < 1 1 2 + b − 1 4 1 ≤ b < 2 11 12 2 ≤ b < 3 1 3 ≤ b find p { x = i } , i = 1 , 2 , 3 . find p { 1 2 < x < 3 2 } .