Given below are the results of a survey of favorite sports: What is your favorite sport to watch on television? Football Basketball Baseball Males 40 22 15 Females 12 16 45 Total 52 38 60 a) Create a new column on the right to calculate the distribution of gender. Do you think both genders are represented equally? Justify. b) What issues can arise about the representativeness of this sample? Argument? c) What is the probability that a person selected at random will: Have Football as favorite sport? o Be Female? Have Football as favorite sport or be Female? o Have Baseball as favorite sport and be Male? Be Male given that the favorite sport is Basketball? o Have Basketball as favorite sport given being Male? d) Is the favorite sport contingent upon the gender (i.e. are the two phenomena independent)? Say YES or NO, and justify your answer accordingly