Question

the national health examination survey reported that in a sample of 13,267 adults, 6634 had high cholesterol (total cholesterol above 200 mg/dL), 8093 were overweight (body mass index above 25), and 4113 were both overweight and had high cholesterol. a person is chosen at random from this study. round all answers to four decimal places. (a) find the probability that the person os overweight. The probability that the person is overweight is?B) Find the probability that the person has high cholesterol

Answer 1

Step 1:

The question says:

The national health examination survey reported that in a sample of 13,267 adults,

6634 had high cholesterol (total cholesterol above 200 mg/dL),

8093 were overweight (body mass index above 25), and

4113 were both overweight and had high cholesterol.

A person is chosen at random from this study.

Round all answers to four decimal places.

(a) find the probability that the person is overweight.

The probability that the person is overweight is .........

Step 2:

Probability ( the person is overweight ) =

`\frac{Number\text{ of over-weight people}}{\text{Total number of adults in the sample}}`
`(8093)/(13267)\text{ =0.6100 ( 4 decimal places)}`

The probability that the person is overweight = 0.6100 ( 4 decimal places)

Step 3:

B) Find the probability that the person has high cholesterol

Probability ( that the person has high cholesterol ) =

`\frac{Number\text{ of people that had cholesterol}}{\text{Total number of adults in the sample}}`

`\begin{gathered} (6634)/(13267)=0.500037687 \\ \approx\text{ 0.5000 ( 4 decimal places)} \end{gathered}`

The probability that the person is overweight = 0. 5000 ( 4 decimal places)