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A space shuttle carries 5 computers onboard. Each computer has been designed with the reliability target of 90% for a 30 day-mission (24 hrs/day operation).

  1. A space shuttle carries 5 computers onboard. Each computer has been designed with the reliability target of 90% for a 30 day-mission (24 hrs/day operation).

a. What should be the target MTBF (in hours) of a computer assuming exponential failure times?

b. In the worst case scenario, if at least one computer functions, the shuttle can return to the earth. What is the probability that the shuttle can return to the ground control station after a 30-day mission?

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