Question

A shop has 3 accountants, if three customers only came in different time periods. and each...

A shop has 3 accountants, if three customers only came in different time periods. and each one picked an accountant randomly. if variable (X) express the number of customers who picked the first accountant and variable(Y) express the number of customers who picked the second accountant. Find the joint probabilty function for variables X and Y.
Math   Statistics-And-Probability   
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Answer #1

We are given here X as the number of customers out of the 3 customers who picked the first accountant and Y representing the number of customers who picked the second accountant. Therefore the joint probability function for X, Y here is obtained as:

P(X = x, Y = y) = Number of ways to select x customers from 3 customers who select the first accountant * Number of ways to select y customers from remaining (3 - x) customers who selected the second accountant * (1/3)3

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