Suppose the rate of type ii diabetes in 40- to 59-year-olds is 7% among caucasians, 10% among african-americans, 12% among hispanics, and 5% among asian-americans. also suppose the ethnic distribution for the age group is 30% caucasian, 25% african-american, 40% hispanic, and 5% asian-american. what is the overall probability of type ii diabetes among 40- to 59-year-olds in houston?

The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.

Step-by-step explanation:

We have these following rates of type II diabetes:

7% among Caucasians

10% among African-Americans

12% among Hispanics

5% among Asian-Americans.

The ethnic distribution of Houston is:

30% Caucasian

25% African-American

40% Hispanic

5% Asian-American

What is the overall probability of type II diabetes among 40- to 59-year-olds in Houston?

is the probability of finding a Caucasian with type II diabetes in Houston. So it is 7% of 30%.

is the probability of finding an African-American with type II diabetes in Houston. So it is 10% of 25%.

is the probability of finding a Hispanic with type II diabetes in Houston. So it is 12% of 40%.

is the probability of finding an Asian-American with type II diabetes in Houston. So it is 5% of 5%.

The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.

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