Suppose that the iqs of university​ a's students can be described by a normal model with mean 140 and standard deviation 8 points. also suppose that iqs of students from university b can be described by a normal model with mean 120 and standard deviation 11.a) slect a student at random from university a. find the probability that the student's iq is at least 135 points. b) select a student at random from each school. find the probability that the university a students iq is at least 5 points highter than the university b students' iq. c) select 3 university b students at random. find the probability that this group's average iq is at least 115 points.