A class with 5 students has 3 juniors and 2 seniors. A group of 3 students is selected at random. Let J be the number of juniors and S the number of seniors. • Calculate the joint distribution of J and S. Do not forget to include the bounds! • Calculate the marginal probabilities of J and S. • Are J and S independent? Give an intuitive explanation for your answer.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A class with 5 students has 3 juniors and 2 seniors. A group of 3 students is selected at random. Let
J be the number of juniors and S the number of seniors.
• Calculate the joint distribution of J and S. Do not forget to include the bounds!
• Calculate the marginal probabilities of J and S.
• Are J and S independent? Give an intuitive explanation for your answer.
Transcribed Image Text:A class with 5 students has 3 juniors and 2 seniors. A group of 3 students is selected at random. Let J be the number of juniors and S the number of seniors. • Calculate the joint distribution of J and S. Do not forget to include the bounds! • Calculate the marginal probabilities of J and S. • Are J and S independent? Give an intuitive explanation for your answer.
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