STA 032 - Spring 2015 - R Homework 3 - Due Friday, April 24th

Problem 1

Approximately 51% of the population is male (denoted M ), and 49% is female (denoted F ). Assume that

if someone is male, the probability they need to correct their vision is , and the probability they do

not is . Further, if someone is female, the probability they need to correct their vision is , and the

probability they do not is . Let V be the event that someone needs to correct their vision.

Create a function which simulates picking a random person n times, and calculates and returns the following

probabilities:

(a) P (M V )

(b) P (M V c )

(c) P (M V )

(d) P (M V c )

(e) P (M c V c ).

Report these probabilities for n 10000, 100000.

Problem 2

Build a...