SOLUTION: The diameter of an electric cable is normally distributed, with a mean of 0.8 inch and a standard deviation of 0.01 inch. what is the probabiity that the diameter will exceed 0.81
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Question 616852: The diameter of an electric cable is normally distributed, with a mean of 0.8 inch and a standard deviation of 0.01 inch. what is the probabiity that the diameter will exceed 0.815 inch? please show me how to do this one step by step
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The diameter of an electric cable is normally distributed, with a mean of 0.8 inch and a standard deviation of 0.01 inch. what is the probabiity that the diameter will exceed 0.815 inch?
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How many standard deviations is 0.815 from the mean?
z(0.815) = (0.815-0.8)/0.01 = 1.5
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What is the probability that z could be greater than 1.5?
P(x > 0.0815) = P(z > 1.5) = normalcdf(1.5,100) = 0.06681
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Cheers,
Stan H.
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