Question

A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below:
Male Female
Type A 55 75
Type B 48 22
Compare P(Female or Type B) with P(Female | Type B).

Answer 1

a. There is not enough information
b. P(Female or Type B) > P(Female | Type B)
c. P(Female or Type B) = P(Female | Type B)
d. P(Female or Type B) < P(Female | Type B)

IS B CORRECT?

Answer 2

I will award medal and fan

Answer 3

\[P(\text{ female or type B})=P(\text{female})+P(\text{type B})-P(\text{female AND type B)}
\\ \, \\
P(\text{female | Type B})=\frac{P(\text{female AND type B})}{P(\text{type B})}\]

Answer 4

OR = 97 + 70 - 22 = 145
FEMALE | TYPE B = 22 / 70

Answer 5

or = 145 / 200 = 0.725
f | type b = 0.314

Answer 6

so its B??

Answer 7

yes :)

Answer 8

thank you!

Answer 9

your welcome !