Show that the cdf F(x) is a nondecreasing function; that is x1 < x2, implies that F(x1) ? F(x2). Under what condition will F(x1) = F(x2) ?

Answer: Step 1 of 1 Here, the cdf F(x) is a nondecreasing function; that is x < 1 2 F(x )2= P(X x ) 2 = P[(X x ) (x < X x )] 1 1 2 = P(X x ) + P(x < X x ) 1 1 2 = F(x ) + P(x < X x ) 1 1 2 F(x )2 F(x ) 1 The equation holds if P(x < X1 x )= 0.2