For independence we need : P(A|B) = P(A)
P("GPA between 2 and 3" |"skipped few classes") =450/890=0.506
P("GPA between 2 and 3") = 0.475
A) No, b/c .475 does not equal .506
Many skipped classes: GPA < 2 = 80 people, GPA between 2 and 3 = 25 people, GPA > 3 = 5 people
Few skipped classes: GPA < 2 = 175 people, GPA between 2 and 3 = 450 people, GPA > 3 = 265
Are "GPA between 2 and 3" and "skipped few classes" independent?
A. No, b/c .475 does not equal .506
B. No, b/c .475 does not equal .89
C. No, b/c .450 does not equal .475
D. Yes, because of conditional probabilities
E. Yes, because of the product rule
I know that they are independent if P(A n B) = P(A) * P(B)
.45 = .475 * .89
No it does not, .45 does not equal .42275