On a piece of paper do the following and submit a picture or pdf of your work.

Probabilities should be written to 4 decimal places and all other values should be rounded to 2 decimal places.

High blood pressure has been identified as a risk factor for heart attacks and strokes.

The proportion of U.S. adults with high blood pressure is 0.3.A sample of 81 U.S. adults is chosen.

a)What is the sampling distribution of the sample proportion,?

b)Find the probability that the proportion of individuals in the sample who have high blood pressure is between 0.24 and 0.35.

c)Find the probability that less than 26% of the people in the sample have high blood pressure.

d)Find the probability that more than 28% of the people in the sample have high blood pressure.

e)Would it be unusual if more than 31% of the individuals in the sample of 81 had high blood pressure? Explain.