# Normal Probability

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 0.57?

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 greater than 300.

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#### Solution Summary

The solution provides step-by-step method for the calculation of probability based on Z score. Formula for the calculation and Interpretations of the results are also included.

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