Question

In an experiment to study the relationship to studyhypertension and smoking habits, the following data are collectedfor 180 individuals:

Nonsmokers modsmokers Heavysmokers
H 21 36 30
NH 48 26 19

Where H and NH in a table stand for hypertension andnonhypertension, respectively. If one of these individuals is isselected at random, find the probability that the person

(a) experiencing hypertension, given that the person is a heavy smoker
(b) a nonsmoker given that the person is experiencing no hypertension.

Answer 1

Answer: a) 0.612, b) 0.52.

Explanation:

Since we have given that

Nonsmokers mod smokers Heavy smokers Total

H 21 36 30 87

NH 48 26 19 93

Total 69 62 49 180

Here, H stands for Hypertension

NH stands for Non hypertension

(a) experiencing hypertension, given that the person is a heavy smoker

P(H|Heavy smoker) =
`(30)/(49)=0.612`

(b) a nonsmoker given that the person is experiencing no hypertension.

P(Non smoker | No Hypertension) =
`(48)/(93)=0.52`

Hence, a) 0.612, b) 0.52.