1. **State the problem:** We have a contingency table showing counts of males and females choosing between Sport Utility Vehicles (SUV) and Sports Cars. We want to analyze the data, possibly to find probabilities or proportions related to gender and vehicle choice. 2. **Understand the data:** The table is: | Gender | SUV | Sports Car | Total | |--------|-----|------------|-------| | Male | 21 | 39 | 60 | | Female | 135 | 45 | 180 | | Total | 156 | 84 | 240 | 3. **Calculate probabilities:** - Probability a randomly selected person is male: $P(\text{Male}) = \frac{60}{240} = 0.25$ - Probability a randomly selected person is female: $P(\text{Female}) = \frac{180}{240} = 0.75$ - Probability a randomly selected person chose SUV: $P(\text{SUV}) = \frac{156}{240} = 0.65$ - Probability a randomly selected person chose Sports Car: $P(\text{Sports Car}) = \frac{84}{240} = 0.35$ 4. **Calculate conditional probabilities:** - Probability a person chose SUV given they are male: $$P(\text{SUV} | \text{Male}) = \frac{21}{60} = 0.35$$ - Probability a person chose Sports Car given they are male: $$P(\text{Sports Car} | \text{Male}) = \frac{39}{60} = 0.65$$ - Probability a person chose SUV given they are female: $$P(\text{SUV} | \text{Female}) = \frac{135}{180} = 0.75$$ - Probability a person chose Sports Car given they are female: $$P(\text{Sports Car} | \text{Female}) = \frac{45}{180} = 0.25$$ 5. **Interpretation:** - Females are more likely to choose SUVs (75%) compared to males (35%). - Males are more likely to choose Sports Cars (65%) compared to females (25%). This analysis helps understand preferences by gender.