Question

A random sample of 200 adults are classified below by sex and their level of education attained. Education Male Female Elementary 36 47 Secondary 26 52 College 20 19 If a person is picked at random from this group, find the probability that (
a. the person is a male, given that the person has a secondary education (
b. the person does not have a college degree, given that the person is a female

Answer 1

Solution:

a. the person is a male, given that the person has a secondary education.

The probability that a person is a male, given that the person has secondary education is:

P(Male | Secondary education) $=\frac{26}{78}=\frac{1}{3}$

Therefore, a person is a male, given that the person has secondary education is $\frac{1}{3}$

b. The person does not have a college degree, given that the person is a female.

The probability that a person does not have a college degree, given that the person is a female is:

P(Not college degree | female) $=\frac{47+52}{118}=\frac{99}{118}$

Therefore, a person does not have a college degree, given that the person is a female is $\frac{99}{118}$