Question

Create a pivot table of Gender and Major. Then complete the Joint Probability table so you can answer the following:

a) What is the probability of randomly choosing a Female?
b) What is the probability of randomly choosing a Male AND Finance major?
c) What is the probability of randomly choosing a Female OR Leadership major?
d) Given that the student you selected is a Male, what is the probability he has no major?
e) Given that the student you selected has no major, what is the probability the student is male?

Answer 1

As the data is not given about how many majors are there what are the number of males and females , I am providing you with the formulas that you can use :

A) probability if randomly choosing a female = Number of female / total number of persons(males + females)

B) = ( number of males who are finance major) / ( total number of persons)

C) = (number of females + number of leadership majors - number of females who are leadership major )/(total number of persons)

D) = (number of males with no major) / ( total number of males)

E) = (number of males with no major)/ (number of persons with no major)