Suppose that events A and B are independent. If P(A)=0.3 and P(B) =0.5, then: a. find the probability of A complement. b. find P(A and B). c. are A and B mutually exclusive? Explain your reasoning. d. find P(A or B). e. find P(A B). 7 Ff B I WINE 9:06 P DEL 82.F 7/3/202The following contingency table displays the number of students who report studying at least 15 hours per week and how many made the honor roll in the past semester: Honor No honor Total roll roll Study at least 15 482 hours/week 200 682 Study less than 15 125 hours/week 193 318 Total 607 393 1000 a. Find the probability of randomly selecting a student who studies less than 15 hours per week. b. Find the probability of randomly selecting an honor roll student student who studies less than 15 hours per week. c. Find the probability of randomly selecting an honor roll student given that the student studies at least 15 hours per week