8. Your unlucky friend Unlucky Louis just played the game and lost 15 points after 50 rolls! Just how unlucky is Unlucky Louis? In other words, what is p(X≥15)? (Hint: remember real intervals--this question is asking about the probability of losing 15 or more points.) First, what is the Unlucky Louis' Z-score?

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### Probability and Statistics Exercise: Understanding Z-Scores

**Problem Statement:**

8. Your unlucky friend Unlucky Louis just played the game and lost 15 points after 50 rolls! Just how unlucky is Unlucky Louis? In other words, what is p(X≥15)? (Hint: remember real intervals--this question is asking about the probability of losing 15 or more points.)

**Question:**

**First, what is Unlucky Louis' Z-score?**

*Note: There is a blank input field provided for the students to enter their Z-score calculation.*

---

**Explanation:**

In this exercise, students are required to calculate the Z-score for Unlucky Louis based on the given data. The Z-score is a measure that describes a value's relationship to the mean of a group of values. It is measured in terms of standard deviations from the mean.

- **Key Terms:**
  - **X:** Number of points lost
  - **p(X≥15):** The probability that the number of points lost is 15 or more

Students should utilize their knowledge on Z-scores, probability, and standard deviations to determine just how unlucky Unlucky Louis has been in this scenario involving 50 rolls of a game.
Transcribed Image Text:### Probability and Statistics Exercise: Understanding Z-Scores **Problem Statement:** 8. Your unlucky friend Unlucky Louis just played the game and lost 15 points after 50 rolls! Just how unlucky is Unlucky Louis? In other words, what is p(X≥15)? (Hint: remember real intervals--this question is asking about the probability of losing 15 or more points.) **Question:** **First, what is Unlucky Louis' Z-score?** *Note: There is a blank input field provided for the students to enter their Z-score calculation.* --- **Explanation:** In this exercise, students are required to calculate the Z-score for Unlucky Louis based on the given data. The Z-score is a measure that describes a value's relationship to the mean of a group of values. It is measured in terms of standard deviations from the mean. - **Key Terms:** - **X:** Number of points lost - **p(X≥15):** The probability that the number of points lost is 15 or more Students should utilize their knowledge on Z-scores, probability, and standard deviations to determine just how unlucky Unlucky Louis has been in this scenario involving 50 rolls of a game.
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