1. It is known that 16% of the students at a college are left handers. A random sample of 40 students was taken from the college. (a) Find the probability that less than 30% of the students in the sample are left handers. (3 marks) (b) Find the probability that 20% to 35% of the students in the sample are left handers. (3 marks) (c) It is found that the probability that at most x% of the students in this sample are left handers is 0.05. Find the value of x. (4 marks)