Question: Let the d.f. F(x) = 1cosx for 0 x /2. Check that this function has all properties of d.f.s. What values would a

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.

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