# Question

The campus representative for Lens.com wants to know what percentage of students at a university currently wear contact lens. Suppose the true proportion is 30%.
a) We randomly pick 100 students. Let p represent the proportion of students in this sample who wear contacts. What’s 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’s the approximate probability that more than one third of this sample wear contacts?

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