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12. A piza delivery company classifies is customers by gender and location of re

ID: 3306008 • Letter: 1

Question

12. A piza delivery company classifies is customers by gender and location of residence. The rescarch department has gathered data from a random sample of 2103 a customers. The data is summarized in the table below Gender and Residence of Customers Males Females 247 135 partment 239 IS Dorm With Parents Other 247 251 Sorerity Fraternity House 263 97 48 129 What is the probability that a customer is fermale and lives with her parentis) or is male and lives in a dorm? Write your answer as a fraction or a decimal number rounded to four decimal places

Explanation / Answer

P(female and lives with parents)= 251/2103 [ This is the intersection of females with 'lived with parents' and divided by total customers]

Similarly, P(male and dorm)= 239/2103

Thus P(females and parents OR male and dorm)= P(female and lives with parents)+P(male and dorm) =(251+239)/2103 =0.233