Imagine Creighton has 3500 undergraduates, of which 800 belongto a fraternity or sorority (Greeks), and 270 are
Question:
Imagine Creighton has 3500 undergraduates, of which 800 belongto a fraternity or sorority ("Greeks"), and 270 are biology majors.We'll initially assume these two factors are independent.
A. What proportion of the population are Greek biology majors?(Or, to put it another way, what is the probability that anundergraduate selected at random would be a Greek biologymajor?)
B.What proportion are Greeks but not biology majors?
C.What proportion are neither Greek nor biology majors?
D.If we choose three students are random, what is theprobability that all three will be Greeks?
E.If we choose three students are random, what is theprobability that at least one will be a biology major?
F. Now we'll add chemistry majors into the mix. We'llassume there are 160 chemistry majors, and 21 of these arealso majoring in biology. What is the probability that arandomly chosen undergraduate will be a chemistry or biology major(or both)?
G.An analysis of student records in indicates that Greekmembership and major are not independent after all. It turnsout that 87 of the 270 biology majors are Greek. Based onthis data, what is the chance that a randomly chosen student willbe a Greek biology major?