# Assume that adults have IQ scores statistics homework help

1. Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ less than 118. The probability that a randomly selected adult has an IQ less than 118 is?

2. Assume that adults have IQ scores that are normally distributed with a mean of u=105 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ between 87 and 123 is?

3. Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation 15. Find P4 which is the IQ score separating the bottom 4% from the top 96%. The IQ score separating the bottom 4% from the top 96% is p4=?

4. Assume that adults have IQ scores that are normally distributed with a mean of 106106 and a standard deviation of 15. Find the third quartile Q3 which is the IQ square separating the top 25% from the others. the third quartile Q3 is?

5. A survey found that women’s heights are normally distributed with mean 62.2 in. and standard deviation 2.8 in. The survey also found that men’s heights are normally distributed with a mean 67.9 in. and standard deviation 2.7. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 4 in. Find the percentage of women meeting the height requirement.

6. Assume that the Richter scale magnitudes of earthquakes are normally distributed with a mean of1.024 and a standard deviation of 0.545. Earthquakes with magnitudes less than 2.000 are considered “microearthquakes” that are not felt. What percentage of earthquakes fall into this category?