Suppose you are given that probability of testing positive for HPV for someone sexually active follows a binomial distribution with the probability of 'success/positive' equal to 0.80. If you have 20 people come into a clinic at OUHSC that day, use this information to answer the following questions.

a. What are the mean and standard deviation of the distribution? Show work and formulas. (15 pts)

b. What is the probability of seeing exactly 15 positive cases of HPV that day? (15 pts)

c. What is the probability of seeing 18 or more HPV cases in the 20 patients seen at the clinic? (15 pts)

Question 2 - Binomial Probability Distribution- Stat Trek

Consider systolic blood pressure. Suppose that you are told that the probability of having an SBP greater than 140 in the US follows a binomial distribution with probability of being higher than 140 as p=0.2.

a. What is the probability that if you randomly selected 40 people in the US that exactly 5 will have an SBP higher than 140? (10 pts)

b. What is the probability that when randomly selecting 40 people that 11 or more will have an SBP higher than 140? (10 pts)

Bonus (5 pts):Using the exact same information as provided above, what is the probability of seeing between 4 and 15 cases of and SBP 140 or higher? Make sure to explain method. You can use stat trek to assist you with this calculation.

Question 3 - General Discrete Distribution

Suppose that you are told the number of patients a physician saw at a clinic daily by the hour for the last 10 days had the following distribution.

x (number of patients seen in 1 day)	# times this occurred	p(x)
0	20
1	35
2	25
3	15
4	5
Total

a) Fill out the chart to get the total number and P(x). (10 pts)

b) Find the mean and SD of the distribution. (15 pts)

c) What is the probability that a physician saw at least 2 people an hour during the study? (10 pts)