The number of people who visit a certain store in a day, N, has a Poisson (100) distribution. Ten percent (10%) of the customers are male and 90% are female. Half the men make purchases and only a third of the women make purchases. All shoppers make independent choices to buy something or not. On a particular day, 50 shoppers visit the store but don't buy anything. Given this information, what is the conditional PMF of the number of customers on that day who make a purchase? (Hint: use what you learned about "chicken-egg" questions and define X as the number who buy something, and Y as the number who don't.)
The number of people who visit a certain store in a day, N, has a Poisson (100) distribution. Ten percent (10%) of the customers are male and 90% are female. Half the men make purchases and only a third of the women make purchases. All shoppers make independent choices to buy something or not. On a particular day, 50 shoppers visit the store but don't buy anything. Given this information, what is the conditional PMF of the number of customers on that day who make a purchase? (Hint: use what you learned about "chicken-egg" questions and define X as the number who buy something, and Y as the number who don't.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:5. The number of people who visit a certain store in a day, N, has a Poisson (100)
distribution. Ten percent (10%) of the customers are male and 90% are female.
Half the men make purchases and only a third of the women make purchases. All
shoppers make independent choices to buy something or not. On a particular
day, 50 shoppers visit the store but don't buy anything. Given this information,
what is the conditional PMF of the number of customers on that day who make a
purchase? (Hint: use what you learned about “chicken-egg" questions and define
X as the number who buy something, and Y as the number who don't.)
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