Assume that 30% of students at a university wear contact lenses. We randomly pick 144 students. (a) Let p represent the proportion of students in this sample who wear contacts. What is the appropriate model for the distribution of p? Specify the name of the distribution, the mean, and the standard deviation. Be sure to verify that the conditions are met. (b) What is the approximate probability that more than one third of this sample wear contacts? (c) Find P (0.2 p 0.6).