For each of the following problems, determine the type of problem and the formul

Question

For each of the following problems, determine the type of problem and the formula that would be used to solve them (you can solve them too if you want practice).

a. Continuous Uniform Distribution: Area = h * w

b. Normal Distribution, find the probability for a single score, x.

c. Normal distribution, find the value of a score, x

d. Normal Distribution, find the probability for a sample mean,

1. Assume that adults have IQ scores that are normally distributed with a mean of = 100 and a standard deviation of =20. Find the probability that one randomly selected adult has an IQ score less than 132.

2. Assume that women’s heights are normally distributed with a mean of = 64.3 inches, and a standard deviation of = 3.1 inches. What is the probability that the mean height of 25 women would be greater than 65 inches?

3. The waiting time for the subway from Times Square to the Mets stadium forms a uniform distribution with wait times from 0 to 5 minutes. What is the probability that someone would wait less than 0.75 minutes?

4. Adult men’s heights are normally distributed with a mean of 69.5 inches and a standard deviation of 2.4 inches. If you plan to build a door that would accommodate 60% of adult men, what would the height of that door have to be?

Explanation / Answer

1. b. Normal Distribution, find the probability for a single score, x

2. d. Normal Distribution, find the probability for a sample mean,

3. a. Continuous Uniform Distribution: Area = h * w

4. c. Normal distribution, find the value of a score, x

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