Example: The data on the following page represent the travel time to work for residents of Hartford County, CT. (a) What is the probability a randomly selected resident has a travel time of 90 or more minutes? (b) What is the probability a randomly selected resident has a travel time less than 90 minutes? Source: United States Census Bureau, 2000 Supplementary Survey Example: Consider the experiment of tossing fair coins. Define the following event: A: {Observing at least one head}. Find if 2 coins are tossed. P(A) Find if 10 coins are tossed. P(A) 3.4 The Additive Rule and Mutually Exclusive Events The Additive Rule: The probability of the union of events and is the sum of the probability of event and the probability A B A of event minus the probability of the intersection of events and that is B, A B; Example: Brown Not
Example: The data on the following page represent the travel time to work for residents of Hartford County, CT. (a) What is the probability a randomly selected resident has a travel time of 90 or more minutes? (b) What is the probability a randomly selected resident has a travel time less than 90 minutes? Source: United States Census Bureau, 2000 Supplementary Survey Example: Consider the experiment of tossing fair coins. Define the following event: A: {Observing at least one head}. Find P(A) if 2 coins are tossed. Find P(A) if 10 coins are tossed. 3.4 The Additive Rule and Mutually Exclusive Events The Additive Rule: The probability of the union of events A and B is the sum of the probability of event A and the probability of event B, minus the probability of the intersection of events A and B; that is Example: Brown Not
Section%203.2-3.4%20Handout%20for%20PPT.docx