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2. Suppose that 3 batteries are randomly chosen from a group of 3 new, 4 used but still working, and 5 defective batteries. If we let X denote the number of new and Y denote used but still working batteries that are chosen then, i Find the joint probability mass function of X and Y. ii The marginal distribution of X and Y iii The probability that the sum of the number of batteries will be at most 2.

2. Suppose that 3 batteries are randomly chosen from a group of 3 new, 4 used but still working, and 5 defective batteries. If we let X denote the number of new and Y denote used but still working batteries that are chosen then, i Find the joint probability mass function of X and Y. ii The marginal distribution of X and Y iii The probability that the sum of the number of batteries will be at most 2.

MATLAB: An Introduction with Applications
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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2. Suppose that 3 batteries are randomly chosen from a group of 3 new, 4 used but still working, and 5 defective batteries. If we let X denote the number of new and Y denote used but still working batteries that are chosen then, i Find the joint probability mass function of X and Y. ii The marginal distribution of X and Y iii The probability that the sum of the number of batteries will be at most 2. iv The probability that two new batteries will be selected given that one used but still working battery has been selected.
Transcribed Image Text:2. Suppose that 3 batteries are randomly chosen from a group of 3 new, 4 used but still working, and 5 defective batteries. If we let X denote the number of new and Y denote used but still working batteries that are chosen then, i Find the joint probability mass function of X and Y. ii The marginal distribution of X and Y iii The probability that the sum of the number of batteries will be at most 2. iv The probability that two new batteries will be selected given that one used but still working battery has been selected.
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