Question (1): Three checkout counters (A, B and C) are in operation at a local supermarket. The probability of choosing checkout counters (A, B and C) are (0.2, 0.7,0,1) respectively. Two customers arrive at the counters at different times. It is assumed that the customers choose their checkout counter randomly and independently. Let X be number of times counter A is selected and Y be number of times counter B is selected by the two customers. Find the joint probability distribution of X and Y.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question (1):
Three checkout counters (A, B and C) are in operation at a local supermarket. The probability of choosing
checkout counters (A, B and C) are (0.2, 0.7,0,1) respectively. Two customers arrive at the counters at different
times. It is assumed that the customers choose their checkout counter randomly and independently. Let X be
number of times counter A is selected and Y be number of times counter B is selected by the two customers.
Find the joint probability distribution of X and Y.
Transcribed Image Text:Question (1): Three checkout counters (A, B and C) are in operation at a local supermarket. The probability of choosing checkout counters (A, B and C) are (0.2, 0.7,0,1) respectively. Two customers arrive at the counters at different times. It is assumed that the customers choose their checkout counter randomly and independently. Let X be number of times counter A is selected and Y be number of times counter B is selected by the two customers. Find the joint probability distribution of X and Y.
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