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(Male | Type B) with P(Male or Type B).
P(Male | Type B)> P(Male or Type B)

P(Male | Type B)< P(Male or Type B)

P(Male | Type B) = P(Male or Type B)

There is not enough information.

Answer 1

B

Step-by-step explanation:

Male and type a is less than Male or type as there are people who are type a and not male.

Answer 2

Male Female
Type A 55 75
Type B 48 22

Compare P(Male | Type B) with P(Male or Type B).

P(Male | Type B) = [number of male people inside the type B] / [number of Type B people] =

= 48 / (48 + 22) = 48 / 70 = 24/35 = 0.686

P(Male or Type B) = [number of male + number of type B - number that aree both] / total population = [103 + 70 - 48] / 200 = 125 / 200 = 0.625

Then, P(Male | Type B)> P(Male or Type B)