Subjects probability and statistics

Probability Transportation 65C11D

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Probability Transportation 65C11D


1. Given the survey data: | Mode | Male | Female | Total | |---------|------|--------|-------| | Bus | 30 | 50 | 80 | | Bicycle | 20 | 10 | 30 | | Car | 25 | 15 | 40 | Total students = 150 2. Probability that a randomly selected student is female: $$P(\text{Female}) = \frac{\text{Total Female}}{\text{Total Students}} = \frac{50 + 10 + 15}{150} = \frac{75}{150} = 0.5$$ 3. Probability that a randomly selected student walks to campus: From the table, no data for walking is given, so assume zero or no students walk. $$P(\text{Walk}) = 0$$ 4. Probability that a student is male and uses a car: $$P(\text{Male and Car}) = \frac{25}{150} = \frac{1}{6} \approx 0.1667$$