# 2023_Sec6.2_F18.docx - Section 6.2 Applications of Normal...

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Section 6.2Applications of Normal Distributions1.Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of15. For a randomly selected adult, find the following probabilities.a.Find the probability of an IQ score greater than 70..9772b.Find the probability of an IQ score between 110 and 120.c.Find the first quartile, which is the IQ score that separates the bottom 25% from the top 75%.d.Find the 98thpercentile, which is the IQ score that separates the bottom 98% from the top 2% of the scores.
2.A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and astandard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between210 and 240.
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