HWKsolutions3lastsemester

Supposethreefliesarechosenat

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Unformatted text preview: ng, there are 5,000 nests with young. The distribution of brood size (number of young in a nest) is given in the accompanying table. Suppose one of the 5,000 broods is chosen at random and let Y be the size of the brood. Find Broad Size 1 800 7 130 8 26 9 3 10 1 Total 1810 6 1300 5 o 610 4 o 230 3 o 90 2 o Brood Number 5,000 P(Y=4) = 1300 / 5000 = 0.26 P(Y>=8) = [26 + 3 + 1] / 5000 = 0.006 P(2<=Y<8) = [230 + 610 + 1300 + 1810 + 800 + 130] / 5000 = 0.976 Calculate the mean of the random variable Y. [1*90 + 2*230 + … + 9*3 + 10*1] / 5000 = 4.517 (HW3.4) Consider a population of the fruit fly Drosophila melanogaster in which 30% of the individuals are black because of a mutation, while 70% of the individuals have the normal gray color. Suppose three flies are chosen at random from the population; let Y denote the number of black flies out of the three. Then the probability distribution for Y is given by the following table: o Find Pr {Y ≥ 1}. Pr ( Y >= 1) = .441 + .189 + .027 = 0.657...
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This note was uploaded on 01/22/2014 for the course STATISTICS 13 taught by Professor Markhansen during the Spring '11 term at UCLA.

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