Aprofessor has noticed that students that attend class regularly, miss no more than two classes per term, generally get better grades. for the class, the overall percent of students who attend regularly is 84%. of those who come to class on a regular basis, 42% receive a's. of those who don't attend regularly, only 6% get a's. draw a tree diagram like the one in the image, where r = "attends class regularly", r' = "does not attend class regularly", a = "earned an a", a' = "did not earn an a". diagram for attendance that includes the first branches with regular attendance and secondary branches with a and not a grades (a) based on your tree diagram fill in the appropriate matching probabilities, enter your answer as a proportion with three decimal places.: a. or p(r) = .840 b. or p(r') = .160 c. or p(a|r) = .420 d. or p(a'|r) = .580 e. or p(a|r') = .060 f. or p(a'|r') = .940 (b)among all students what proportion earn an a and don't attend class regularly? .001 (c)what is the chance a randomly chosen student will earn an a in the class? hint: use the total law of probability. (d)given a student earned an a, what is the chance they attend class regularly? hint: p(r|a)