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(a) What is the probability that the space vehicle will have a successful launch?

(b) Given that the space vehicle had a successful launch, what is the probability that exactly two of the C-computers were functioning?

A space vehicle has five computers. Label the first four computers by C1,C2,C3,C4 and the fifth one by D. These computers function independently of each other. In order for the vehicle to have a successful launch, at least two of the first four computers must be functioning, and the fifth one must also be functioning. Each of the first four computers has probability of 0.98 of functioning, while the fifth computer has probability of .999 of functioning.

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