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Unformatted text preview: ENGM2032, Applied Probability and Statistics Winter 2010 Assignment #4 Due: Tue Feb 7, 2010 1) Four cards are dealt from a shuffled deck of 52 cards. Let X count the number of spades appearing in the four dealt cards. a) What is the probability mass function for X ? b) What is the expected value of X ? 2) A company has determined that the drilling depth X , in metres, before encountering oil in a certain region is random and distributed according to f X ( x ) = 0 . 002 e- . 002 x for x a) What is the probability that the next well drilled will encounter oil at a depth exceeding 700 m? b) Out of the next 7 wells drilled, what is the probability that exactly three of them exceed 700 m in depth before striking oil? 3) Suppose that by rounding the records, the following discrete probability mass function has been determined for the average temperature, T in o C, in Halifax over the month of March: t-6-4-2 2 4 P ¢ T = t £ 0.10 0.10 0.30 0.25 0.15 0.10 Find the following; a) P ¢ T £ , b) P...
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This note was uploaded on 02/24/2010 for the course ENGM 2032 taught by Professor Yao during the Spring '10 term at Dalhousie.
- Spring '10