Q1) Scores on certain nationwide college entrance examination follow normal distribution with mean of 500 and a standard deviation of 100. Determine the probability that student will score
a) If a school only admits students who score over 680, what proportion of the student pool would be eligible for admission?
b) What limit would you set that makes 50% of the students eligible?
c) What must be the limit if only the top 15% are to be eligible?
Q2) Big Triple at local racetrack consists of picking right order of finish of first three horses in ninth race. If there are 12 horses entered in today's ninth race, how many Big Triple outcomes are possible?