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).

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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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|
Transcribed Image 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|
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