GATE | GATE CS 2012 | Question 47

Consider a random variable X that takes values +1 and −1 with probability 0.5 each. The values of the cumulative distribution function F(x) at x = −1 and +1 are
(A) 0 and 0.5
(B) 0 and 1
(C) 0.5 and 1
(D) 0.25 and 0.75


Answer: (C)

Explanation: The Cumulative Distribution Function
F(x) = P(X≤x)
F(-1) = P(X≤-1) = P(X=-1) = 0.5
F(+1) = P(X≤+1) = P(X=-1) + (P=+1) = 0.5+0.5 = 1

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