Consider the following distribution of gender and major of students in an introd
ID: 3179947 • Letter: C
Question
Consider the following distribution of gender and major of students in an introductory statistics class:
Social Science
Science
Total
Female
20
10
30
Male
20
10
30
Total
40
20
60
a. Find the probability that a randomly selected student is from social science. b. Find the probability that a randomly selected student is from social science major given that they are female. c. Find the probability that a randomly selected student is a Male student.
Social Science
Science
Total
Female
20
10
30
Male
20
10
30
Total
40
20
60
Explanation / Answer
a) P(social science) = 40/60 = 0.67
b) P(social science | female) = P(social science and female) / P(female)
= (20/60) / (30/60)
= 20/30
= 0.67
c) P(male student) = 30/60 = 0.5