Use the chart to find if a student is selected at random, find the probability that: a.) the student is a man or a heavy smoker b.) the student is a woman and a regular smoker. c.) given that the student is a nonsmoker, find the probability that the student is a woman

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Use the chart to find if a student is selected at random, find the probability that:

a.) the student is a man or a heavy smoker
b.) the student is a woman and a regular smoker.
c.) given that the student is a nonsmoker, find the probability that the student is a woman

The table displays the smoking habits among a group of college students, categorized by gender and smoking frequency. 

### Table Description:

1. **Categories:**
   - **Nonsmoker:** Students who do not smoke.
   - **Regular Smoker:** Students who smoke regularly but not heavily.
   - **Heavy Smoker:** Students who smoke heavily.

2. **Groups:**
   - **Men**
   - **Women**

3. **Data Breakdown:**
   - **Men:**
     - Nonsmokers: 126
     - Regular Smokers: 21
     - Heavy Smokers: 17
     - Total: 164

   - **Women:**
     - Nonsmokers: 125
     - Regular Smokers: 14
     - Heavy Smokers: 9
     - Total: 148

4. **Overall Totals:**
   - Nonsmokers: 251
   - Regular Smokers: 35
   - Heavy Smokers: 26
   - Grand Total: 312

The table helps in understanding the distribution of smoking habits among male and female college students.
Transcribed Image Text:The table displays the smoking habits among a group of college students, categorized by gender and smoking frequency. ### Table Description: 1. **Categories:** - **Nonsmoker:** Students who do not smoke. - **Regular Smoker:** Students who smoke regularly but not heavily. - **Heavy Smoker:** Students who smoke heavily. 2. **Groups:** - **Men** - **Women** 3. **Data Breakdown:** - **Men:** - Nonsmokers: 126 - Regular Smokers: 21 - Heavy Smokers: 17 - Total: 164 - **Women:** - Nonsmokers: 125 - Regular Smokers: 14 - Heavy Smokers: 9 - Total: 148 4. **Overall Totals:** - Nonsmokers: 251 - Regular Smokers: 35 - Heavy Smokers: 26 - Grand Total: 312 The table helps in understanding the distribution of smoking habits among male and female college students.
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