10% of the students in your college are left-handed. We take a random sample of 169 students. (a) What is the mean and standard deviation of sampling distribution of sample proportion? (b) What is the probability that in our sample there are more than 12% of left-handed students? (c) In a classroom with 10 students, find the probability that there is no left-handed student. (d) What is the expected value of left-handed students in a classroom with 20 students