There's far too much information; I'll pare it down.
Let = "is a matheholic."Jenna teaches two courses, course X and course Y.
20 percent of her students are in X. As a consequence of Jennaís teaching technique,
5% of X students and 10% of the Y students are matheholics.
a) What is the probability that one of Burkardís students . . . who?
who has been randomly chosen is a matheholic?
0.20)(0.05) \:=\:0.01" alt="P(X \wedge MH) \:=\0.20)(0.05) \:=\:0.01" />
0.80)(0.10) \:=\:0.08" alt="P(Y \wedge MH) \:=\0.80)(0.10) \:=\:0.08" />
b) One of Jenna's students is a matheholic.
What is the probability that this student is in course Y?
We want: .
Bayes' Theorem: .