SOLUTION: The probability that a randomly chosen weld will pass inspection is 0.90. a)If an inspector checks 15 welds, what is the probability that exactly 14 will pass. b)What is the prob

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Question 452498: The probability that a randomly chosen weld will pass inspection is 0.90.
a)If an inspector checks 15 welds, what is the probability that exactly 14 will pass.
b)What is the probability that at least 14 will pass.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The probability that a randomly chosen weld will pass inspection is 0.90.
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Binomial Problems with n = 15 and P(pass) = 0.9 and P(not pass) = 0.1
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a)If an inspector checks 15 welds, what is the probability that exactly 14 will pass.
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P(x = 14) = 15C14(0.9)^14*(0.1) = 0.3432
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b)What is the probability that at least 14 will pass.
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P(14<= x <=15) = 1-P(0<= x <=13) = 0.5490
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Cheers,
Stan H.
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