Determining the highest number of miles

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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?

Reference no: EM1316876

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