Answer to Question #155751 in Statistics and Probability for Wachira Ann Wangari

Question

Suppose that there are two categorical explanatory variables, sex(male and female) and handedness (right or left handed). Suppose that people coming to a shopping center are investigated, their sex registered and they are asked about being left or right handed. Let the probability that a person coming to the centre is MR,ML,FR and FL(MR means male right handed e.t.c) are 911,912,921and 922 respective. Denote Y 11 ,Y 12,Y 21 and Y 22 the numbers of MR,ML,FR and FL

a) among the 1st 1000 people

b) coming during the day.

Suppose that people come independently of each other and that the total number of people coming during the day has a possion distribution with parameter A.

Find the distribution of Y=(y11, y12, y21,y22) in case (a) and in case(b).

Answer 1

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