Research has demonstrated that adults taking at least 7000 steps per day (steps/d) had lower risk of mortality compared to those taking fewer than 7000 steps/d. (inspiration for problem:  Using data from the Coronary Artery Risk Development in Young Adults (CARDIA) study, 21% of all participants had fewer than 7000 steps/d.  A researcher is planning to randomly sample 10 participants from the CARDIA study. What distribution does X, the number of participants with fewer than 7000 steps/d follow? Be sure to define necessary parameters and state any assumptions.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Research has demonstrated that adults taking at least 7000 steps per day (steps/d) had lower risk of mortality compared to those taking fewer than 7000 steps/d. (inspiration for problem: 

Using data from the Coronary Artery Risk Development in Young Adults (CARDIA) study, 21% of all participants had fewer than 7000 steps/d. 

A researcher is planning to randomly sample 10 participants from the CARDIA study.

  1. What distribution does X, the number of participants with fewer than 7000 steps/d follow? Be sure to define necessary parameters and state any assumptions.
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