The research department has gathered data from a random sample of 1802 customers.

Question

A newspaper company classifies its customers by gender and location of residence. The research department has gathered data from a random sample of 1802 customers. The data is summarized in the table below.

Gender and Residence of CustomersResidenceMalesFemales
Apartment		166		198
Dorm		216		290
With Parent(s)		258		78
Sorority/Fraternity House		154		101
Other		265		76

What is the probability that a customer is not female or does not live with their parents? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

A = Not Female = Male

B = Doesn't live with Parent(s)

P(A) = 1059/1802

P(B) = 1466/1802

P(A and B) = 801/1802

P(A or B) = (1059 + 1466 - 801) / 1802 = 1724/1802

The probability that a customer is not a female nor is living with parent(s) is 1724/1802 or 0.9567.