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.© BrainMass Inc. brainmass.com May 20, 2020, 6:09 pm ad1c9bdddf
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.