Part 1

The systolic blood pressure of adults in the USA is nearlynormally distributed with a mean of 120 and standard deviation of23 .

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

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

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

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 bloodpressure among US adults. What is your systolic BP? Round to 2decimal places. ________ lbs

Part 2

In the country of United States of Heightlandia, the heightmeasurements of ten-year-old children are approximately normallydistributed with a mean of 55.2 inches, and standard deviation of8.7 inches.

What is the probability that the height of a randomly chosen childis between 44.35 and 45.05 inches? Do not rounduntil you get your final answer, and then round to 3 decimalplaces.

Part 3

A distribution of values is normal with a mean of 130.7 and astandard deviation of 89.2.

Find the probability that a randomly selected value is greater than202.1.
P(X > 202.1) =

Part 4

A distribution of values is normal with a mean of 150.1 and astandard deviation of 78.5.

Find the probability that a randomly selected value is between-38.3 and -30.5.
P(-38.3 < X < -30.5) =

Part 5

Company XYZ know that replacement times for the portable MP3players it produces are normally distributed with a mean of 3.6years and a standard deviation of 1.1 years.

Find the probability that a randomly selected portable MP3 playerwill have a replacement time less than 0.5 years?
P(X < 0.5 years) = ________

Enter your answer accurate to 4 decimal places. Answers obtainedusing exact z-scores or z-scores rounded to 3decimal places are accepted.

If the company wants to provide a warranty so that only 4.4% of theportable MP3 players will be replaced before the warranty expires,what is the time length of the warranty?
warranty = _______ years

Part 6

The combined SAT scores for the students at a local high schoolare normally distributed with a mean of 1503 and a standarddeviation of 308. The local college includes a minimum score of1626 in its admission requirements.

What percentage of students from this school earn scores that failto satisfy the admission requirement?
P(X < 1626) = _______%