Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The amount, I, spent on in-state tuition and the amount, O, spent on out-of-state tuition for a randomly selected student both follow a Normal distribution.
The mean and standard deviation of the sum S = I + O of tuition for a randomly selected pair of in-state and out-of-state students are μS = $6,348.75 and σS = $1,508.48.
Use the z-table to answer the question.
What is the probability that the sum of a randomly selected pair of in- and out-of-state students has a tuition charge of more than $8,000?
0.0009
0.1368
0.8632
0.9991