4. Roll a (standard, fair, six-sided) die and let $X$ be the number rolled. Then roll the die repeatedly, stopping the next time you roll a number less than or equal to $X$. Let $Y$ be the number of...


4. Roll a (standard, fair, six-sided) die and let $X$ be the number<br>rolled. Then roll the die repeatedly, stopping the next time you roll a<br>number less than or equal to $X$. Let $Y$ be the number of times you<br>rolled a number higher than $X$ before stopping.<br>i. The conditional distribution of $YS given $\{X=x\}$ is a named<br>distribution, with parameters that may depend on $x$. Write down this<br>distribution, including parameter(s).<br>SP. VS.840|<br>

Extracted text: 4. Roll a (standard, fair, six-sided) die and let $X$ be the number rolled. Then roll the die repeatedly, stopping the next time you roll a number less than or equal to $X$. Let $Y$ be the number of times you rolled a number higher than $X$ before stopping. i. The conditional distribution of $YS given $\{X=x\}$ is a named distribution, with parameters that may depend on $x$. Write down this distribution, including parameter(s). SP. VS.840|

Jun 11, 2022
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