MTH100/003-Homework 2: 1. The table below describes smoking habits for a group o

Question

MTH100/003-Homework 2: 1. The table below describes smoking habits for a group of asthma sufferers Nonsmokers Occasional Regular Heavy Smokers Smokers Smoker 61 84 Men 339 377 34 36 Women a. If one of the 996 people is randomly selected. find the probability of getting a male asthma suferer? 32 b. I/ two of the 996 people are randomly selected without replacement), find the probability of getting a heavy smoker and a regular smoker asthma sufferer? c. If two of the 996 people are randomly selected (without replacement), find the probability of getting a male nonsmoker and a male heavy smoker asthma suferer? d. Ifone of the 996 people is randomly selected,find the probability of getting a heavy smoke given that the asthma sufferer is a female?

Explanation / Answer

from given table"

a) P(male asthema sufferer) =467/996= 0.4689

b)

P(heavy and regular) =P(first heavy and second reglar+first regular and second heavy smoker)

=(145/996)*(70/995)+(70/996)*(145/995)=0.020484

c)P(male nonsmoker and male heavy smoker) =(339/996)*(34/995)+(34/996)*(339/995)=0.023261

d)

P(heeavy smoke|female)=36/529 =0.068053

nonsmokers occasional regular heavy Total Men 339 33 61 34 467 women 377 32 84 36 529 Total 716 65 145 70 996

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