please help with these stats questions and PLEASE PROVIDE SAS CODES IF POSSIBLE:

1. The emergency department at the Adults Hospital sees an average of 13.5 patients per hour.

a. Find the mean and standard deviation for the number of patients visiting per hour.

b. the probability that the emergency department will see 12 patients in one hour?

c. the probability that the emergency department will see at most 12 patients in one hour?

d. the probability that the emergency department will see more than 20 patients in one hour?

2. According to a study, the height for White adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose an White adult male is randomly selected. Let X = height of the individual.

a. X ~ ____ (____ , ____)

b. probability that the person's height is between 65 and 69 inches.

c. the chances of selecting an Asian adult male over 72 inches?

3. The distribution of income in some low income countries is considered wedge-shaped (many low-income people, few middle-income people, even fewer high-income people). Suppose we select a country with a wedge-shaped distribution. Let the average salary be $20,000 per year with a standard deviation of $3000. A group of researchers randomly surveyed 1000 residents of that country.

a. if a person is randomly selected from this population, find the probability that their salary is less than $1500 per year.

b. Find the 85^th percentile for average salary.