A:) A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.4 years, and standard deviation of 2.4 years.

If you randomly purchase one item, what is the probability it will last longer than 7 years?

B:) A particular fruit's weights are normally distributed, with a mean of 305 grams and a standard deviation of 34grams.

If you pick one fruit at random, what is the probability that it will weigh between 191grams and 243grams?

C:) The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation of 17 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure over 160.

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

%

2. If you sampled 2000 people, how many would you expect to have Stage 2 high blood pressure? Round your answer to the nearest person.

people

3. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1? Express your answer as a percent rounded to two decimal places.

%

4.your doctor tells you you are in the 30th percentile (30% below you, 70% above) for blood pressure among US adults. What is your systolic blood pressure? Round your answer to 2 decimal places.