The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation of 26 .

Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.

a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places.

b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and down if there's an issue!

c. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1?

d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places.

2)A variable is normally distributed with mean 21 and standard deviation 9. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed.

a) Find the area to the left of 22.

b) Find the area to the left of 18.

c) Find the area to the right of 19.

d) Find the area to the right of 24.

e) Find the area between 18 and 29

3)Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 249 feet and a standard deviation of 58 feet.

Use your graphing calculator to answer the following questions. Write your answers inpercentform. Round your answers to the nearest tenth of a percent.

a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 210 feet?

1. P
2. P
3. (fewer than 210 feet) =%

b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 228 feet?

1. P
2. P
3. (more than 228 feet) =

4)If the area to the left ofx

x

in a normal distribution is 0.207, what is the area to the right ofx

x

?

1. Answer:

If the area to the right ofx

x

in a normal distribution is 0.207, what is the area to the left ofx

x

?

1. Answer:

5)The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. LetX

=

X=

percent of fat calories.

(a) Find the z-score corresponding to 41 percent of fat calories, rounded to 3 decimal places.

(b) Find the probability that the percent of fat calories a person consumes is more than 41.

(c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z-score. Use your z-score from part (a), rounded to one decimal place).

5)Click and drag the arrows to adjust the values.

-1.5

(d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3 decimal places.

(e) Sketch the graph and write the probability statement.