Question

In words, explain what it means to pick one person from the study who is “Japanese American GIVEN that person smokes $21to30$ cigarettes per day.” Also, find the probability

Short answer

The probability of one person from the study who is “Japanese American GIVEN that person smokes $21to30$cigarettes per day.” is$0.309$

Step-by-step solution

Content Introduction

The contingency table is as follow:

Content Explanation

To select one person from the study who is “Japanese American GIVEN that person smokes $21to30$cigarettes per day.” means both criteria should be met.

$$\begin{gathered} P(JapaneseAmericanGIVENthatpersonsmokes21to30cigarettesperday)=\frac{P(JapaneseAmericanANDthatpersonsmokes21to30cigarettesperday}{personsmokes21to30cigarettesperday} \\ P(JapaneseAmericanGIVENthatpersonsmokes21to30cigarettesperday)=\frac{{\displaystyle \frac{4715}{100450}}}{{\displaystyle \frac{15273}{100450}}} \\ P(JapaneseAmericanGIVENthatpersonsmokes21to30cigarettesperday)=0.309 \end{gathered}$$