This preview shows page 1. Sign up to view the full content.
Unformatted text preview: own a dog? Answer. Let D be the families that own a dog, and C the families that own a cat. We are given P ( D ) = . 36 , P ( C ) = . 30 , P ( C  D ) = . 22 We want to know P ( D  C ). We know P ( D  C ) = P ( D C ) / P ( C ). To nd the numerator, we use P ( D C ) = P ( C  D ) P ( D ) = ( . 22)( . 36) = . 0792. So P ( D  C ) = . 0792 /. 3 = . 264 = 26 . 4%. An example: Suppose 30% of the women in a class received an A on the test and 25% of the men received an A. The class is 60% women. Given that a person chosen at random received an A, what is the probability this person is a women? Answer. Let A be the event of receiving an A, W be the event of being a woman, and M the event of being a man. We are given P ( A  W ) = 21...
View
Full
Document
This note was uploaded on 12/29/2011 for the course MATH 316 taught by Professor Ansan during the Spring '10 term at SUNY Stony Brook.
 Spring '10
 ansan
 Probability

Click to edit the document details