Individual components fail


A system with 3 components is such that the system fails if at least one of the individual components fail.

The probability that a component fails is 0.04. Let G be the event that the system fails.

(a) Write down explicitly the outcomes in the sample space and the outcomes in the event G

(b) Compute the probabilities of the outcomes in the sample space.

(c) How many outcomes are there in G? How many in the sample space?

(d) Consider the event G="stopping at least once." Compute the probability of this event.

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Basic Statistics: Individual components fail
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