HWKsolutions3lastsemester

Supposethreefliesarechosenat

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

This note was uploaded on 01/22/2014 for the course STATISTICS 13 taught by Professor Markhansen during the Spring '11 term at UCLA.

Ask a homework question - tutors are online