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

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.

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Serenity 3 weeks 2021-11-19T09:54:04+00:00 1 Answer 0 views 0

Answers ( )

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    2021-11-19T09:56:01+00:00

    Answer: a) 0.612, b) 0.52.

    Step-by-step 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) = \dfrac{30}{49}=0.612

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

    P(Non smoker | No Hypertension) = \dfrac{48}{93}=0.52

    Hence, a) 0.612, b) 0.52.

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