The probability that first processing machine is not working properly at any time is 0.07, and the probability that the second machine is not working properly at any time is 0.07 and the probability...

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The probability that first processing machine is not working properly at any time is 0.07, and the probability that the second machine is not working properly at any time is 0.07 and the probability that third machine is not working properly is 0.09


Find the probability that at least one machine will be working properly at any given time. Provide answer to four decimal precision



Answered Same DayDec 25, 2021

Answer To: The probability that first processing machine is not working properly at any time is 0.07, and the...

Robert answered on Dec 25 2021
120 Votes
Probability that no machine will be working
= Pr(first not working) * Pr(second not working) * Pr(third not working)
= 0.07 * 0.07 * 0.09
= 0.000441
Probability that at least one machine is working properly =
= 1 - Probability that no machine will be working
= 1 – 0.000441
= 0.999559...
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