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 65 85
Type B 38 12


Compare P(Female | Type B) with P(Female or Type B).
P(Female | Type B)< P(Female or Type B)
P(Female | Type B)> P(Female or Type B)
P(Female | Type B) = P(Female or Type B)
There is not enough information.

Answer 1

do you know how to compute P(Female | Type B) ?

Answer 2

I'm actually not sure, would that be people that are both Female and Type B?

Answer 3

no

Answer 4

first off it is a probabilty, a ratio, not a whole number
it is the number of Females that are Type B (i.e. what you said) OVER the total number that are type B

Answer 5

Oh, okay.. So this means that we have 12/50. for P(Female | Type B)

Answer 6

yes

Answer 7

how about P(Female or Type B)

Answer 8

Umm I actually don't know.

Answer 9

all that are type B , plus all that are female, over the total

Answer 10

Okay, so 135/200?

Answer 11

yes

Answer 12

SO that means that P(Female | Type B)< P(Female or Type B)?

Answer 13

P(Female | Type B) = .24,
P(Female or Type B) = .675
i will let you compare them

Answer 14

yes

Answer 15

Thank you very much!