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A student repeatedly rolls a die. YY is the furthest distance away in which the die lands in the first ten rolls.\newlineIs the random variable YY discrete or continuous?\newlineChoices:\newline(A) discrete\newline(B) continuous

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Q. A student repeatedly rolls a die. YY is the furthest distance away in which the die lands in the first ten rolls.\newlineIs the random variable YY discrete or continuous?\newlineChoices:\newline(A) discrete\newline(B) continuous
  1. Die outcomes determine YY: YY is the furthest distance the die lands, which means it's based on the outcomes of rolling a die.
  2. Finite outcomes for furthest distance: When rolling a die, there are a finite number of outcomes 11 through 66, so the furthest distance is also a finite number.
  3. Y values are finite: Since YY can only take on a finite set of values (specific points where the die could land), it's not something that can be measured on a continuous scale.
  4. ext{ extit{Y}} is a discrete variable: Therefore, ext{ extit{Y}} is a discrete random variable because it can only take on distinct, separate values.

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