Let us assume that it is known that the systolic blood pressure (SBP) for a particular population of individuals is approximately normally distributed with a mean of mmHg with a known standard deviation of mmHg. We will assume the previous to be true. Use this information to answer the following.

Part (a) ( WebWorkiR ) An individual with a SBP of 140 or more is classified as hypertensive. What percentage of individuals in this population are hypertensive? Please submit your answer as a proportion rounded to 3 decimal places.

Part (b) ( WebWorkiR ) A SBP of 160 or more is classified as Stage II Hypertension, while a SBP of 140-159.9 is classified as Stage I Hypertension. Of all individuals who are classified as hypertensive (Stage I or II), what percentage are Stage II Hypertensive? Please report your answer as a proportion rounded to 3 decimal places.

Part (c) ( WebWorkiR ) What is the median SBP for this population?

Part (d) ( WebWorkiR ) What is the $90^{th}$ percentile of SBP for this population. Please report your answer rounded to one decimal place.

Part (e) ( WebWorkiR ) Suppose an independent random sample of individuals is chosen from this population. What is the probability that the sample mean SBP for these individuals is less than or equal to 117mmHg? Please report your answer as a proportion rounded to 3 decimal places.