QUESTION 1 Elise has just graduated from her BCom degree and is facing a post-graduation crisis where she does not know what she wants to do with her life. Because she did not have a job lined up for the summer, she has decided to take this time to go on vacation and "find herself". Elise has decided that, since life is unpredictable, it would be fitting to plan her trip randomly. To determine where she will go on vacation, she will be using an Excel simulation based on the suggestions from her ten closest friends: three suggested to travel around Europe (EUR), six suggested to backpack through South East Asian (SEA), and one suggested to take a roadtrip across the states (USA). Elise is also unsure whether or not she should travel with friends (F) or alone (A), so she will determine this based on a coin toss using a fair coin. Assume that the outcome of the travel destination does not affect, and is not affected by, whether Elise travels alone. Having taken BUS 404, Elise started a probability tree on which destination she will travel to and whether she will travel alone. Some of the numbers have been blocked out. Help Elise fill in the missing parts. Destination Alone? Sample Space Probability F Europe n Friends 0.15 EUR A D Europe n Alone E F S.E. Asian Friends F SEA A S.E. Asian Alone 0.3 F USA n Friends G USA A USA n Alone 0.05 H 0.30 A B Total QUESTION 4 Elise is ready to plan the first step of her vacation: the destination. To figure out where Elise should go on her vacation (Europe, South East Asia, or USA), she thought she could draw a slip of paper out of a hat. In the hat are ten pieces of paper, and on each piece of paper is the destination suggested by each of her ten friends. If Elise is to pick a piece of paper out of the hat at random, then the events of randomly picking a one of the three possible travel destinations are because there overlapping areas in the Venn Diagram for the possible travel destinations. In the first blank, choose "mutually exclusive" or "not mutually exclusive". in the second blank, choose "are" or "are no". QUESTION 5 One of Elise's friends, Ed, thought this method of trip planning was so fun that Ed wanted to pick a piece of paper out of the hat at random after Elise. Imagine that, after Elise takes her pick out of the hat, she holds on to the piece of paper so that there are only nine pieces of paper in the hat when Ed goes and takes his pick. Are the following pairs of events mutually exclusive? Elise picking Europe and Elise picking South East Asia: Elise picking South East Asia and Ed picking USA: Ed picking Europe and Ed picking USA