1. Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Letxbe a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles,xis approximately normally distributed with mean=36and standard deviation=15.Find the following probabilities. (Round your answers to four decimal places.)(a)xis less than 60 (b)xis greater than 16 (c)xis between 16 and 60 (d)xis more than 60 (This may indicate an infection, anemia, or another type of illness.)

2. A person's blood glucose level and diabetes are closely related. Letxbe a random variable measured in milligrams of glucose per deciliter(1/10 of a liter)of blood. Suppose that after a12-hourfast, the random variablexwill have a distribution that is approximately normal with mean=84and standard deviation=28.Note:After 50 years of age, both the mean and standard deviation tend to increase. For an adult(under 50)after a12-hourfast, find the following probabilities. (Round your answers to four decimal places.)(a)xis more than 60 (b)xis less than 110 (c)xis between 60 and 110 (d)xis greater than 125 (borderline diabetes starts at 125)

3. Find thezvalue such that97%of the standard normal curve lies betweenzandz. (Round your answer to two decimal places.)

z=

4. Find thezvalue such that86%of the standard normal curve lies betweenzandz. (Round your answer to two decimal places.) z=

5. Findzsuch that4.8% of the standard normal curve lies to the right ofz. (Round your answer to three decimal places.)

z=

6. Findzsuch that8%of the standard normal curve lies to the right ofz. (Round your answer to two decimal places.)

z=

7. Findzsuch that4.6%of the standard normal curve lies to the left ofz. (Round your answer to two decimal places.) z=

8. Assume thatxhas a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

=2.9;=0.30

P(x2)=

9. Assume thatxhas a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

=103;=19

P(x120) =

10. Assume thatxhas a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

=5.1;=1.2

P(7x9) =

11. Assume thatxhas a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

=4;=2

P(3x7) =