I never remember how to calculate this kind of problems. Thank You!

Question {14 marks]: Records for ECON 221 sho'sr that 15% of students fail the course {F}, 15% pass the course {P}, and l'laiu quit the course before the end of the term {Q}. (if those who fail, 12% have some math background {M}; whereas, of those who pass, E' have some math background. Finally, 5% of those I.yho quit have some math background. a. {2 marks} Calculate the probability that a randomly selected student has some math background and passes the course. b. {2 marks} Calculate the probability that a randomly selected student has some math background c. {2 marks} Given that a student has some math background, calculate the probability the student passes the course. d. {2 marks} lGiven that a student has no math background, calculate the probability the student passes the course