If a person is randomly selected from the general population, what is the probability of getting a person with an IQ below 127? (Show as much work as possible. Round the z score to two decimal places. Leave your final answer with four decimal places)

b. What percentage of the general population has an IQ below 127? (No need to show work. Leave your final answer with two decimal places) c. draw a diagram(Draw a sketch of a normal distribution. Under the normal distribution, include a number line with a tickmark that is labelled with both the mean of the population and z = 0. This tick mark needs to be at the center of the normal distribution. Also, include another tick mark showing the IQ you converted to a z score and the z score of that IQ. This tick mark doesn't need to be perfectly positioned but it needs to be positioned at least roughly the correct location. Remember that almost all of the normal distribution is between z = -3 and z = +3. This should help you determine the position of your z score. Finally, shade the area that corresponds to the probability you calculated in this problem, and label the shaded area with both the probability and the percentage (from parts a and b of this problem).

4. In the general population, IQ scores have a mean of 100, a standard deviation of 15, and a normal distribution.

a. If a person is randomly selected from the general population, what is the probability of getting a person with an IQ above 123? (Show as much work as possible. Round the z score to two decimal places. Leave your final answer with four decimal places)

What percentage of the general population has an IQ above 123? (No need to show work. Leave your final answer with two decimal places) c. draw a diagram (Draw a sketch of a normal distribution. Under the normal distribution, include a number line with a tick mark that is labelled with both the mean of the population and z = 0. This tick mark needs to be at the center of the normal distribution. Also, include another tick mark showing the IQ you converted to a z score and the z score of that IQ. This tick mark doesn't need to be perfectly positioned but it needs to be positioned at least roughly the correct location. Remember that almost all of the normal distribution is between z = -3 and z = +3. This should help you determine the position of your z score. Finally, shade the area that corresponds to the probability you calculated in this problem, and label the shaded area with both the probability and the percentage (from parts a and b of this problem). 5. In the general population, IQ scores have a mean of 100, a standard deviation of 15, and a normal distribution. a. If a person is randomly selected from the general population, what is the probability of getting a person with an IQ between 110 and 120? (Show as much work as possible. Round the z scores to two decimal places. Leave your final answer with four decimal places) b. What percentage of the general population has an IQ between 110 and 120? (No need to show work. Leave your final answer with two decimal places)

draw a diagram (Draw a sketch of a normal distribution. Under the normal distribution, include a number line with a tick mark that is labelled with both the mean of the population and z = 0. This tick mark needs to be at the center of the normal distribution. Also, include two other tick marks showing the IQs you converted to z scores and the z scores of those IQs. These tick mark don't need to be perfectly positioned but they need to be positioned at least roughly the correct location. Remember that almost all of the normal distribution is between z = -3 and z = +3. This should help you determine the positions of your z scores. Finally, shade the area that corresponds to the probability you calculated in this problem, and label the shaded area with both the probability and the percentage (from parts a and b of this problem). 6. At a certain university, the mean age is 20, the standard deviation is 2.7, and the ages follow a normal distribution. a. If a person is randomly selected from the university, what is the probability of getting a person younger than 25? (Show as much work as possible. Round the z score to two decimal places. Leave your final answer with four decimal places) b. What percentage of the university is younger than 25? (No need to show work. Leave your final answer with two decimal places) c. draw a diagram (Draw a sketch of a normal distribution. Under the normal distribution, include a number line with a tick mark that is labelled with both the mean of the population and z = 0. This tick mark needs to be at the center of the normal distribution. Also, include another tick mark showing the age you converted to a z