icturer produces superior equipment? la 6) For simplicity, assume that the succe
ID: 2922116 • Letter: I
Question
icturer produces superior equipment? la 6) For simplicity, assume that the successful a) If the three components fail b) Assuming inde ul firing of a rocket's propulsion system depends on three components tolg computer, the ignition system, and the fuel pump. Assume that the ponents on each firing of the rocket are 0.9995.0.9997, and 0 9998,respectively a rocket's or survive independently, what is the probability of failure of the rocket the next independendly. time it is required? pendence between rocket firings, what is the probability that the rocket will successfully fire the next 100 times that it is required? How does the resul rather than independent events? c) t of part (a) change if the failure of the three components are assumed to be disjoint events ioh shows the commonent numbers and the probabilitiesExplanation / Answer
a) probability of failure =1-P( all components works ok) =1-0.9995*0.9997*0.9998=0.001
b)probability of succesfully fired next 100 times =(1-0.001)100 =0.9048
c)if failure of components are to be considered disjoint; means at a time only one componet can fail
therefore probability of failure =P( first component fails+second component fails+third component fails)
=(1-0.9995)+(1-0.9997)+(1-0.9998) =0.001
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