SOLUTION: During a space mission, the primary computer system is backed up by two secondary systems. They operate independently of one another, and there is a 90% probability that a compute

Algebra ->  Probability-and-statistics -> SOLUTION: During a space mission, the primary computer system is backed up by two secondary systems. They operate independently of one another, and there is a 90% probability that a compute      Log On


   

Question 314681: During a space mission, the primary computer system is backed up by two secondary systems. They operate independently of one another, and there is a 90% probability that a computer system will survive the mission. What is the probability that:
All three systems will survive the mission?
At least one system will survive the mission?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
During a space mission, the primary computer system is backed up by two secondary systems. They operate independently of one another, and there is a 90% probability that a computer system will survive the mission. What is the probability that:
All three systems will survive the mission?:::0.9^3 = 0.729
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At least one system will survive the mission?::: 1 - (0.1)^3 = 0.999
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Cheers,
Stan H.