practice-mt - PSTAT 120A, Spring 2010, Practice Midterm. 1....

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PSTAT 120A, Spring 2010, Practice Midterm. 1. In a closet there are 10 pairs of shoes. If six shoes are selected at random, what is the probability of a) no complete pairs; b) exactly one complete pair; c) exactly two complete pairs; d) exactly three complete pairs? 2. Suppose that a convention organizer assigns each guest to stay in one of three hotels: labelled hotel B, C and D respectively. Suppose that 10 % of guests are assigned to stay in hotel B; 30 % of guests are assigned to stay in hotel C; and 60 % of guests are assigned to stay in hotel D. Suppose that this fills up all the rooms in each of the three hotels. Suppose that 10 % of the rooms in hotel B have internet access; suppose that 30 % of the rooms in hotel C have internet access; and suppose that 5 % of the rooms in hotel D have internet access. Suppose that a guest is randomly selected. Let A represent the event that they were assigned to stay in a room with internet access. (a) Find the probability of event A . (b) Suppose that a conference guest is randomly selected, and that
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practice-mt - PSTAT 120A, Spring 2010, Practice Midterm. 1....

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