SOLUTION: I am having trouble in my statistics class with my homework, would someone please help me again. I have two questions. Normal Distributions: Find Probabilities 1. The dia

Question 184725: I am having trouble in my statistics class with my homework, would someone please help me again. I have two questions.
Normal Distributions: Find Probabilities

1. The diameters of a wooden dowel produced by a new machine are normally distributed with a mean of 0.55 inches and a standard deviation of 0.01 inches. What percent of the dowels will have a diameter less than 0.56?

2. The a loan officer rates applicants for credit. Ratings are normally distributed. The mean is 240 and the standard deviation is 50. Find the probability that an applicant will have a rating less than 300.
Thank you very much in advance for helping me.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The diameters of a wooden dowel produced by a new machine are normally distributed with a mean of 0.55 inches and a standard deviation of 0.01 inches. What percent of the dowels will have a diameter less than 0.56?
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P(0 < x < 0.56) = normalcdf(0,0.56,0.55,0.01) = 0.84134...
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2. The a loan officer rates applicants for credit. Ratings are normally distributed. The mean is 240 and the standard deviation is 50. Find the probability that an applicant will have a rating less than 300.
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P(0 < x < 300) = normalcdf(0,300,240,50) = 0.88493...
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Cheers,
Stan H.

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