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Unformatted text preview: Assignment 3 is due in class on Monday. Assignments turned in after the deadline are subject to the late penalty (50% of the points), provided they are handed in before 8:30 a.m. Wednesday, February 13. See Assignment 3 for details. Lesson 11: Probability rules! (Part 3) Session ID: 920003 iii] The words “AND” and “OR” for non disjoint events • The word “AND” means that both events must occur . If A and B are not disjoint, then (A and B) means that both A and B are occurring. • The word “OR” means that either one or the other or both events are occurring . If A and B are not disjoint, then (A or B) means that A alone is occurring, B alone is occurring, or both A and B are occurring. Next: Using notation with the words “and” or “or”, how would you describe the overlapping part in the Venn Diagram? A) A or B B) A and B C) (A or B) c D) (A and B) c A B A=Card drawn is a club B=Card drawn is an ace Venn Diagrams for the incorrect choices: • (A or B) • (A or B) C • (A and B) C A B A B A B v] Are the two events independent? vi]Find the probability that the card drawn is the ace of clubs. a. Barney and Maude plan to take a cruise together, but they live in separate cities. The cruise departs from Miami, and they each book a flight to arrive in Miami an hour before they need to be on the ship. Barney’s flight has an 80% chance of making it on time for him to get to the ship and Maude’s flight has a 90% chance of making it on time. i] Define the two events for this problem. ii] Draw the Venn Diagram. (Are these two events defined above disjoint?) iii] Do you think the two events are independent of each other? Why or why not? iv]Whether it is realistic or not, let’s assume the two events are independent. Calculate the probability that Barney and Maude will both arrive on time. Lightly shade the region in the Venn Diagram that corresponds to this “event”. v] What is the probability that one of the two will be cruising alone? Shade the region in the Venn Diagram that corresponds to this “event”. Next: True or False Two disjoint events are independent events. 4. The General Addition Rule a. Return to the card example: Draw one card from a deck of playing cards. Let A = the card is a club B = the card is an ace....
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This note was uploaded on 04/07/2008 for the course ST 351 taught by Professor Kollath during the Spring '05 term at Oregon State.
 Spring '05
 KOLLATH

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