A random set of 263 people who have pets were polled to see if there was a correlation between gender and whether they had a dog or a cat. This is a contingency table outlining the data. Cat Dog Total Male 35 83 118 Female 96 49 145 Total 131 132 263 Let F be the event that a female is chosen. M is the event that a male is chosen. Events C, and D are the events that a person has a pet cat or pet dog respectively. Find the following probabilities. Round to 4 places where possible. (a) p(F and D)= (b) p(F or D)= (C) p(F | D)= (d) p(D | F)= (9) p(D)= (f) p(D)=