**can you explain how to solve on calculator**

1. Assume that adults have IQ scores that are normallydistributed with a mean of 96.9 and a standard deviation of19.9.

Find the probability that a randomly selected adult has an IQgreater than 136.4

2. Find the area of the shaded region. The graph depicts thestandard normal distribution of bone density scores with mean 0 andstandard deviation 1. z= -.85, z= 1.26

3. Find the area of the shaded region. The graph to the rightdepicts IQ scores of​ adults, and those scores are normallydistributed with a mean of 100 and a standard deviation of 15.x=96

4. Assume that adults have IQ scores that are normallydistributed with a mean of μ=105 and a standard deviation σ=20.Find the probability that a randomly selected adult has an IQbetween 91 and 119.

5. Assume that adults have IQ scores that are normallydistributed with a mean of μ=105 and a standard deviation σ=20.Findthe probability that a randomly selected adult has an IQ less than133.

6. Assume that females have pulse rates that are normallydistributed with a mean of 75.0 beats per minute and a standarddeviation of 12.5 beats per minute.

6a) If 1 adult female is randomly​ selected, find theprobability that her pulse rate is between 69 beats per minute and81 beats per minute.

6b) If 16 adult females are randomly​ selected, find theprobability that they have pulse rates with a mean between 69 beatsper minute and 81 beats per minute.

6c) Why can the normal distribution be used in part​ (b), eventhough the sample size does not exceed​ 30?

7. Find the area of the shaded region. The graph depicts thestandard normal distribution of bone density scores with mean 0 andstandard deviation 1. z= -.81

8. The standard deviation of the distribution of sample means is_____