consists of six components as illustrated. The system will work if in each compo
ID: 3024327 • Letter: C
Question
consists of six components as illustrated. The system will work if in each component works and in each series system all components work. 1. An electric system parallel system one (o) What is the probability that system is working? (Assume the components fail indepen- dently.) Show your work. (b) Find the probability that the T does not work given that the system works. is working? ( Assume the components fail indepen- T a) .9 .8 ·The following table show the result of study on the relationship between hypertension and on-hypertension .18 smoking habits: hypertension non-hypertension hypertension 06 - Non-Smokers Moderate Smokers 15 2,3 SI Heavy Smokers 23 .28 (a) Find the probability of experiencing hypertension given that the person is Moderate smoker (b) Find the probability of nonsmoker, given that the person is not experiencing hyperten- sion.Explanation / Answer
The probability that a person is experiencing hypertension given that the person s a moderate smoker is:
0.15/(0.06+0.15+0.23)=0.34
The probability that a person is nonsmoker given that the person is not experiencing hypertension is:
0.1/(0.1+0.18+0.28)
=0.17
The required probability is:
P(S/L)=P(S)P(S/L)/(( P(S)P(S/L)+P(Sc)+P(Sc/L)
=0.25*0.08/(0.25*0.08+0.75*0.5)
=0.05
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