1. 5.4 Conditional Probability
Chapter 5 Probability
5.4
Conditional Probability

3. EXAMPLE Computing Conditional Probabilities
The following data represent the language spoken at home by age for residents of San Francisco County, CA between the ages of 5 and 64 years.
Source: United States Census Bureau, 2000 Supplementary Survey

4. (a) Compute the probability that a randomly selected resident who speaks Spanish at home is years old.
(b) Compute the probability that a randomly selected resident who is years old speaks Spanish at home.

5. EXAMPLE Murder Victims
In 1998, 17.8% of all murder victims were between the ages of 20 and 24 years old. Also in 1998, 15.3% of all murder victims were male and between 20 and 24 years old. What is the probability that a randomly selected murder victim in 1998 was male given that the victim is years old?

6. EXAMPLE Checking for Independence
The following data represent the language spoken at home by age for residents of San Francisco County, CA between the ages of 5 and 64 years. Determine whether the events “Spanish” and “5-17 years” are independent.

7. Caution!
Mutually exclusive and independent are not synonymous.