We are studying a group of 60 people, where the numbers of smokers and non-smokers and those with and without lung cancer are shown in the following table: Non smoker Smokes Total No cancer 40 10 50 Yes cancer 7 3 10 Total 47 13 60 One person is randomly selected from the group. Let's study two random variables S and T, which S= 1, if the person smokes ------- 0, if the person does not smoke T= 1, if the person smokes ----- 0, if the person does not smoke Make a table of the joint and marginal distributions of S and T. (a) Investigate whether the random variables S and T are independent. (b) Compute Corr(S,T).

We are studying a group of 60 people, where the numbers of smokers and non-smokers and those with and without lung cancer are shown in the following table: Non smoker Smokes Total No cancer 40 10 50 Yes cancer 7 3 10 Total 47 13 60 One person is randomly selected from the group. Let's study two random variables S and T, which S= 1, if the person smokes ------- 0, if the person does not smoke T= 1, if the person smokes ----- 0, if the person does not smoke Make a table of the joint and marginal distributions of S and T. (a) Investigate whether the random variables S and T are independent. (b) Compute Corr(S,T).

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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