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Electrical and Electronic EngineeringEngineering MathematicsMultiple Choice (MCQ)1 Mark

Q4.

Consider discrete random variables $X$ and $Y$ with probabilities as follows: $P(X = 0 \text{ and } Y = 0) = \frac{1}{4}$ $P(X = 1 \text{ and } Y = 0) = \frac{1}{8}$ $P(X = 0 \text{ and } Y = 1) = \frac{1}{2}$ $P(X = 1 \text{ and } Y = 1) = \frac{1}{8}$

Given $X = 1$ , the expected value of $Y$ is

A

\frac{1}{4}

B

\frac{1}{2}

C

\frac{1}{8}

D

\frac{1}{3}

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