STAT 400 Midterm: STAT400_BOYLE-M_SPRING2004_0101_MID_EXAM

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No books, notes, calculators, cell phones or electronic devices. Put a box around the nal answer to a question. Do not complete complicated arithmetic computations (save time! ); just set them up clearly: (20 points) a certain machine fails if any of its 20 components fail. These com- ponents fail independently, each with the same probability q. 2. (20 points) a deck of cards contains 52 cards. Each face value occurs in 4 suits: clubs, diamonds, hearts, spades. A full house is a set of 5 cards from the deck which contains 3 cards sharing a face value and 2 other cards sharing some other face value. Compute the probability that a set of 5 cards chosen randomly from the deck is a full house. (15 points) let x be a random variable with the following cdf (cumulative. F (x) = 0 if x < 1. He does the homework for 30% of his courses.

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