# Find the indicated iq score the graph to the right

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26. Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
27. Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
28. Assume that adults have IQ scores that are normally distributed with a mean of μ =105 and a standard deviation σ =15. Find the probability that a randomly selected adult has an IQ less than 132.
29. Assume that adults have IQ scores that are normally distributed with a mean of 103.1 and a standard deviation of 20.2. Find the probability that a randomly selected adult has an IQ greater than 133.5. (Hint: Draw a graph.)
30. Assume that adults have IQ scores that are normally distributed with a mean of μ =100 and a standard deviation σ =20. Find the probability that a randomly selected adult has an IQ between 90 and 110.
31. A survey found that women's heights are normally distributed with mean 63.8 in. and standard deviation 2.7 in. The survey also found that men's heights are normally distributed with mean 69.6 in. and standard deviation 3.8 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park?
b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements?
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