M118 Sample Final 2

M118 Sample Final 2 - 1. Not including the empty set, how...

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Unformatted text preview: 1. Not including the empty set, how many subsets does the set { 3 , 4 , 5 } have? (A) 5 (B) 6 (C) 7 (D) 8 (E) 2 5- 1 (F) none of the others 2. Lurlee has 3 hats and 4 umbrellas, and it is a very cold, rainy day. He decides to take with him two hats and one umbrella. In how many ways can he choose these items? (A) 1 (B) 7 (C) 3 4 (D) 12 (E) 34 (F) none of the others 3. A gaggle of 130 geese wants to decide which way to travel this Fall. There are 80 geese which would agree to go South, 63 which would agree to go North, and 5 which would not agree to go anywhere. How many geese would agree to go South, but would not agree to go North? (A) 18 (B) 62 (C) 45 (D) 80 (E) 130 (F) none of the others 4. A fair coin was tossed 12 times, and the outcomes were: 3 heads and 9 tails. When the same coin is tossed a 13th time, what is the probability the oucome will be tails? (A) 1/4 (B) 1/3 (C) 3/4 (D) 2/3 (E) 1/2 (F) none of the others 5. Professor Umbuggio likes to have his TI2003 calculator with him every day. However, on some days he remembers to take it with him, and on others he forgets. If he remembers it one day, he is equally likely to remember or to forget it the following day. If he forgets it one day, he is sure to remember it next day. This situation is an example of a Markov chain; state 1= remembers, state 2= forgets. Find the transition matrix for this chain. (A) bracketleftbigg 1 . 5 . 5 bracketrightbigg (B) bracketleftbigg . 5 . 5 1 bracketrightbigg (C) bracketleftbigg . 5 . 5 . 5 . 5 bracketrightbigg (D) bracketleftbigg . 5 . 5 1 bracketrightbigg (E) bracketleftbigg . 5 1 . 5 bracketrightbigg (F) none of the others 6. After spending many hours rolling a six-sided die, Averell Dalton decides that it is not a fair die. In fact, a three is twice as likely as any other outcome. What is the probability of rolling a three with this die? (A) 1/6 (B) 1/7 (C) 1/8 (D) 2/9 (E) 2 / 7 (F) none of the others 7. A student uses a tutoring center where he meets one of two tutors, Humpty and Dumpty. Humpty is at the center 60% of the time, and Dumpty 40%. Moreover, Humpty can solve a problem with probability .8, while Dumpty can solve a problem with probability .7. Our student cannot solve a problem, and he is planning to visit the tutoring service. What is the probability that he will find the solution during this visit? (A) .76 (B) .24 (C) .56 (D) .74 (E) 1.5 (F) none of the others 8. Professor Pseudo Nim publishes his book Why I Cannot Count , and he observes that 20% of these books have a missing page. He decides to correct this mistake, and he insists on the publication of a second edition with an equal number of copies. Now 10% of the new books are missing a page. If an interestededition with an equal number of copies....
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This note was uploaded on 01/24/2011 for the course MATH M118 taught by Professor Stevemckinley during the Fall '07 term at Indiana.

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M118 Sample Final 2 - 1. Not including the empty set, how...

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