A boy is to sell lemonade to make some money to afford some holiday shopping. The capacity of the lemonade bucket is 1. At the start of each day, the amount of lemonade in the bucket is a random variable X, from which a random variable Y is sold during the day. The two random variables X and Y are jointly uniform. a) Write down the joint pdf of X and Y and clearly indicate the region of interest. b) What is the probability that the amount of lemonade sold is less than 1/3? c) Find and sketch the CDF and the pdf of "Z" which is the amount of lemonade remaining at the end of the day. Clearly indicate the range of Z

A boy is to sell lemonade to make some money to afford some holiday shopping. The capacity of the lemonade bucket is 1. At the start of each day, the amount of lemonade in the bucket is a random variable X, from which a random variable Y is sold during the day. The two random variables X and Y are jointly uniform. a) Write down the joint pdf of X and Y and clearly indicate the region of interest. b) What is the probability that the amount of lemonade sold is less than 1/3? c) Find and sketch the CDF and the pdf of "Z" which is the amount of lemonade remaining at the end of the day. Clearly indicate the range of Z

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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