A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will ail? (b) Neiter will fail? (c) One or the other will fail? Show allsteps.
Both: .02 x .02= 0.0004
One of them: 0.98* 0.02= 0.196. this is the chance of one but not the other, but there are two cases like this and therefor: 0.196*2= 0.0392
Neither .98+ .98= 0.9604
To check the answer you can add them up and see the probability = 1.
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