Assume that 30% of students at a university wear contact lenses.
a) We randomly pick 100 students. Let p̂ represent the proportion of students in this sample who wear contacts. What's the appropriate model for the distribution of p̂? Specify the name of the distribution, the mean, and the standard deviation. Be sure to verify that the conditions are met.
b) What's the approximate probability that more than one third of this sample wear contacts?