Project ForgeDiscrete Mathematics
Probability & Combinatorics
GATE 2012
Medium
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
- A0 and 0.5
- B0 and 1
- 0.5 and 1
- D0.25 and 0.75
Explanation
F(x) = P(X ≤ x). F(−1) = P(X ≤ −1) = P(X = −1) = 0.5. F(+1) = P(X ≤ +1) = P(X = −1) + P(X = +1) = 1. So F(−1) = 0.5 and F(+1) = 1.
Source: GATE CS 2012 (2012)
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