2. The guidance system design of a satellite places several components in parall

Question

2. The guidance system design of a satellite places several components in parallel. The system will function as long as at least one of the components is operational. In a particular satellite, four such components are placed in parallel. Assume that the probability of a component operating successfully is 0.9. Assume that the components operate independently of each other What distribution describes the components of the guidance system? Also indicate the distribution's parameters. What is the probability of the system functioning? a. b.

Explanation / Answer

Ans:

a)Bernoulli distribution with parameter p=0.9

b)P(system functioning)=P(atleast one of the component is operational)

=1-P(none is opeartional)

=1-(1-0.9)4

=1-0.14=0.9999

c)P(system failing)=P(none of the components operational)=(1-0.9)4=0.0001

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