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4. Iterated expectation (8 points). John rolls a fair foursided die. If X is the outcome of this roll, he picks up a fair coin

4. Iterated expectation (8 points). John rolls a fair foursided die. If X is the outcome of this roll, he picks up a fair coin and tosses it X times. Let Y be the number of heads at the end of this series of coin tosses. Find E(Y)

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