131A_1_hw4

131A_1_hw4 - EE 131A Probabilities Instructor: Vwani...

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EE 131A Problem Set #4 Probabilities Wednesday, October 26, 2005 Instructor: Vwani Roychowdhury Due: Wednesday, November 02, 2005 1. Problem 2.42. 2. Problem 2.45. 3. Problem 2.93. 4. A football team consists of 20 black and 20 white players. The players are to be paired in groups of 2 for the purpose of determining roommates. If the pairing is done at random, what’s the probability that there are no white-black roommate pairs? 5. An urn contains N white and M black balls. Balls are randomly selected, one at a time, until a black one is obtained. If we assume that each selected ball is replaced before the next one is drawn, what is the probability that (1) exactly n draws are needed, and (2) at least k draws are needed? 6. A certain organism possesses a pair of each of 5 diﬀerent genes (which we will designate by the ﬁrst 5 letters of the English alphabet). Each gene appears in 2 forms (which we designate by lowercase and capital letters). The capital letter will be assumed to be the dominant gene in the sense that if an organism possesses the gene pair xX,

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This note was uploaded on 03/27/2012 for the course EE EE 131A taught by Professor Roychowdhary during the Spring '05 term at UCLA.

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131A_1_hw4 - EE 131A Probabilities Instructor: Vwani...

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