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:
Accepted Solution
A:
Answer:Option A: P(Male or Type B) > P(Male | Type B) Step-by-step explanation:Total Female = 85 type A, 12 type B ⇒ 97 Female.Total Male = 65 type A, 38 type B ⇒ 103 MaleTotal type A = 65 + 85 = 150Total type B = 12 + 38 = 50total number of people = 97 + 103 = 200Then the probability would be:P(Male | Type B) = [tex]\frac{number of male in B}{total number of male}[/tex] = [tex]\frac{38}{103}[/tex] = 0.368P(Male or Type B) = [tex]\frac{total number of male + (total number of people in B - total number of male in B)}{total number of male}[/tex] = [tex]\frac{103 + (50 - 38)}{200}[/tex] = [tex]\frac{103 + 12}{200}[/tex] = [tex]\frac{115}{200}[/tex] = 0.575 Hence, P(Male or Type B) > P(Male | Type B)