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Unformatted text preview: is the biased coin. 3. On any given ight, an airlines goal is to have the plane be as full as possible, without overbooking. If, on average, 10cancel their tickets, all independently of each other, what is the probability that a particular ight with maximum capacity 300 people will be overbooked if the airline sells 320 tickets? Find an approximate answer. 4. The length in meters, X , of each section of pipe we obtain is an independent discrete random variable with PMF: 1 p X ( k ) = ( ) k k = 1 , 2 ,... 2 E [ X ] = 2 var( X ) = 2 (a) Suppose we obtain 400 sections of pipe. Determine the value of a bound, w , such that the total length of the sections we obtain will be greater than w with a probability of approximately 0 . 841. (b) Determine n , the number of sections of pipe needed such that the probability we obtain at least 200 meters of pipe is approximately 0 . 841. Page 1 of 1...
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 Spring '10
 MuntherDahleh
 Systems Analysis, Central Limit Theorem, Probability

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