1. The following table provides asthma data for 185 randomly selected Berkeley residents. Asthma No Asthma total Vegetarian 20 60 80 Meat Eater 30 75 105 total 50 135 185 Find: a. P(vegetarian) b. P(asthma) c. P(vegetarian | asthma) d. P(asthma | vegetarian) e. P(asthma | meat eater) f. P(asthma and vegetarian) g. Are meat eaters more likely than vegetarians to have asthma? h. Can you conclude that vegetarianism and asthma are related? i. Can you conclude that eating meat causes asthma? 2. The following table provides data on majors by gender for 675 students Math English Business Sociology Psychology total Male 50 70 70 60 65 315 Female 55 90 65 80 70 360 total 105 160 135 140 135 675