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MTH5210 - S1 2025 Quiz1

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A fair coin is tossed 2 times. The random variable X is the number of Heads in two tosses and Y is the number of Heads on the first toss.The conditional expectation E(X|Y) is given by

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To find E(X | Y), we consider the two possible values of Y, which represents the outcome of the first toss. - If Y = 0 (the first toss is Tails): then the number of Heads X in t......Login to view full explanation

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Following the question above, what is the conditional expectation of 𝑋 1 given 𝑋 2 = 1 ?

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