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Mathematics, 09.10.2021 14:00 NatsuDDW

Given a fair coin and a fair 4 sided die, Jonathan and Joseph run the following experiment. Theyroll the die (letYcorrespond to the random variable associated with the roll). If they roll aytheythe flip the coinynumber of times, letZcorrespond to the random variable associated with thetotal number of heads they flip.(i) Find the marginal PMFs ofYandZ(i. e. findPY(y) andPZ(z)).(ii) Find the conditional PMFs ofYandZ(i. e. findPY|Z(y|z) andPZ|Y(z|y))

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Given a fair coin and a fair 4 sided die, Jonathan and Joseph run the following experiment. Theyroll...
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