Let the d.f. F(x) = 1cosx for 0 x /2. Check that this function has

Let the d.f. F(x) = 1−cosx for 0 ≤ x ≤ π/2. Check that this function has all properties of d.f.’s. What values would a corresponding r.v. assume? Figure out what F(x) equals for x /∈ [0, π/2], and graph F(x). Find P(π/6≤ X ≤ π/3), P(X = π/3). Find the density.