answer all questions with explanation

4. The following table classifies 1456 people by their gender and by whether or not they favor a gun law. Male (S,) Female (S2) Totals Favor (A1) 392 649 1041 Oppose (A2) 241 174 415 Totals 633 823 1456 a. Find the conditional probabilities of response states of gun law for male i.e. P(A, IS, ) and P(A215,). b. Find the conditional probabilities of response states of gun law for women i.e. P(A, ($2) and P(A2|$2). c. Based on the results from (a) and (b), is response state of gun law independent of gender? Justify your