Complêté the wo-way frequency fablé bélow about the fype of party your little sister's friends enjoy the most. Gender Male Female Total Party Туре Bowling Skating Dancing 2 11 3 3 Total Part A: Determine P(Male). Part B: Determine P(Skating). Part C: Determine P(Male and Skating). Part D: Determine P(Male or Skating).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 29PPS
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# Probability Exercises Based on a Two-Way Frequency Table

## Task Description
Complete the two-way frequency table below about the type of party your little sister's friends enjoy the most.

### Two-Way Frequency Table

| Party Type | Gender | Male | Female | Total |
|------------|--------|------|--------|-------|
| Bowling    |        | 6    | 2      |       |
| Skating    |        | 3    | 11     |       |
| Dancing    |        | 1    | 3      |       |
| **Total**  |        |      |        |       |

### Questions

**Part A:** Determine \( P(\text{Male}) \).

**Part B:** Determine \( P(\text{Skating}) \).

**Part C:** Determine \( P(\text{Male and Skating}) \).

**Part D:** Determine \( P(\text{Male or Skating}) \).

---

### Explanation of the Table
This table is a two-way frequency table separating the party type preferences of friends by gender (male and female). Each cell in the table represents the count of friends who prefer a specific type of party broken down by gender. The columns represent males, females, and totals across both genders for each party type.

The task is to analyze this table and answer the probability questions for each given scenario. 

Note: We will assume that the total row and column sums need to be filled out to proceed with these calculations.
Transcribed Image Text:# Probability Exercises Based on a Two-Way Frequency Table ## Task Description Complete the two-way frequency table below about the type of party your little sister's friends enjoy the most. ### Two-Way Frequency Table | Party Type | Gender | Male | Female | Total | |------------|--------|------|--------|-------| | Bowling | | 6 | 2 | | | Skating | | 3 | 11 | | | Dancing | | 1 | 3 | | | **Total** | | | | | ### Questions **Part A:** Determine \( P(\text{Male}) \). **Part B:** Determine \( P(\text{Skating}) \). **Part C:** Determine \( P(\text{Male and Skating}) \). **Part D:** Determine \( P(\text{Male or Skating}) \). --- ### Explanation of the Table This table is a two-way frequency table separating the party type preferences of friends by gender (male and female). Each cell in the table represents the count of friends who prefer a specific type of party broken down by gender. The columns represent males, females, and totals across both genders for each party type. The task is to analyze this table and answer the probability questions for each given scenario. Note: We will assume that the total row and column sums need to be filled out to proceed with these calculations.
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