Your teacher just handed you a multiple choice quiz with 12 questions and none of the material seems familiar to you. each question has 4 answers to pick from, only one of which is correct for each question. helpless, you pick solutions at random for each question. (a). define a random variable X for the number of questions you get correct. provide the distribution for this random variable and its parameter
(b). what is the probability that you pass the test ( i. e get a score of 6 or better)
(c.) if your classmates are all just as unprepared as you, what would you expect the class average on this test to be?
(d) what is the probability you get a perfect score on the test?