Probabilities are used to determine the chance of events.
- The statement means, we want to select a Japanese American or someone whose smoking level is 21-30 cigarettes per day
- The probability is 0.365
Let:
[tex]A \to[/tex] Japanese American
[tex]B \to[/tex] Smokes 21 to 30 cigarettes per day
The meaning of A u B is:
We want to select a Japanese American or someone whose smoking level is 21-30 cigarettes per day
The probability is calculated as follows:
[tex]P(A\ u\ B) = \frac{n(A) + n(B) - n(A\ n\ B)}{Total}[/tex]
From the table (see attachment), we have:
[tex]n(A) = 26078[/tex]
[tex]n(B) = 15273[/tex]
[tex]n(A\ n\ B) = 4715[/tex]
[tex]Total = 100450[/tex]
So, we have:
[tex]P(A\ u\ B) = \frac{26068+ 15273 - 4715}{100450}[/tex]
[tex]P(A\ u\ B) = \frac{36626}{100450}[/tex]
[tex]P(A\ u\ B) = 0.365[/tex]
Hence, the probability is 0.365
Read more about probabilities at:
https://brainly.com/question/11234923
