A certain airplane has two independent alternators to provideelectrical power. T

Question

A certain airplane has two independent alternators to provideelectrical power. The probability that a given alternatorwill fail on a 1-hour flight is .02. What is the probablilitythat (a) both will fail? (b) neither will fail? (C) one or theother will fail? Show all steps carefully. I do not know where to begin with this question. Pleasehelp. A certain airplane has two independent alternators to provideelectrical power. The probability that a given alternatorwill fail on a 1-hour flight is .02. What is the probablilitythat (a) both will fail? (b) neither will fail? (C) one or theother will fail? Show all steps carefully. I do not know where to begin with this question. Pleasehelp.

Explanation / Answer

Alt.

#1

Alt.

#2

Odds as

formula

Odds as

number

Odds as

percent

Therefore, there is a 0.04%(.0004) chance that bothalternators will fail, a 96.04%(.9604) chance that neither onewill fail, and a 3.92%(.0392) chance that one or the otherwill fail (1.96% chance apiece).

Alt.

#1

Alt.

#2

Odds as

formula

Odds as

number

Odds as

percent

Fail Fail 0.02*0.02 0.0004 0.04% Fail Not Fail 0.02*0.98 0.0196 1.96% Not Fail Fail 0.98*0.02 0.0196 1.96% Not Fail Not Fail 0.98*0.98 0.9604 96.04%

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