document.write( "Question 146423: 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 that (a) both will fail (b) Neither will fail? (c) One or the other will fail? Show all steps carefully? \n" ); document.write( "
Algebra.Com's Answer #110887 by nickstud(1)\"\" \"About 
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P(A)=.02 P(B)=.02 A=Alternator #1 B=Alternator #2\r
\n" ); document.write( "\n" ); document.write( "a)P(A ∩ B) = P(A)P(B) = (.02)(.02) = .0004\r
\n" ); document.write( "\n" ); document.write( "b)(.98)(.98) = 0.9604\r
\n" ); document.write( "\n" ); document.write( "c)[P(alt 1 fails) * P(alt 2 doesn't fail)] + [P(alt 1 doesn't fail) * P(alt 2 fails)] = [ .02 * .98] + [.98 * .02] = .0392
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