Q1) 30% of college freshmen at small private 4 year school are honoured scholarships. 80% of freshmen who are honoured scholarships at school go on to graduate, whereas 40% of those who are not honoured scholarships go on to graduate.
(a) Given that person goes on to graduate, determine the probability that person who graduated got a scholarship as freshman?
(b) Given that person goes on to graduate, determine the probability that person who graduated did not get a scholarship as freshman?
Q2) Average number of miles driven in 1 month is normally distributed with mean (µ) of 1,400 miles and standard deviation (σ) of 300 miles.
Auto insurer gives discounts to drivers falling in "bottom 25%" of miles driven in month (call it "infrequent driver" discount). Determine the highest number of miles (to nearest whole number) that motorist could drive in month and still qualify for discount?