1.In a population of 40 individuals, 10 are stable, while the remaining 30 all have either high blood pressure, high cholesterol, or both. If 15 people have high blood pressure and 25 have high cholesterol levels,

a) how many people have high blood pressure and a high level of cholesterol?

If a person is selected randomly from this group, what is the probability that he/she

b) has high blood pressure (event A)?

c) has high level of cholesterol(event B)?

d) has high blood pressure and high level of cholesterol (event A and B)?

e) has either high blood pressure or high level of cholesterol (event A or B)?

f) Use the above to check the probability formula: P(A or B) = P(A) + P(B) - P(A and B).

2. A five-person committee will be chosen at random from a total of ten women and six men. Determine the likelihood that the committee has

a) 3 women and 2 men.

a) 4 women and 1 men.

b) 5 women.

c) at least 3 women.

3. In a school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that

a) exactly 5 have access to the internet.

b) at least 6 students have access to the internet.

4.A group of 1000 students' exam grades have a typical distribution with a mean of 70 and a standard deviation of 10. This group's student is chosen at random.

a) Find the probability that his/her grade is greater than 80.

b) Find the probability that his/her grade is less than 50.

c) Find the probability that his/her grade is between 50 and 80.

d) Approximately, how many students have grades greater than 80?

5.Find the chance of getting two heads when two coins are flipped. H (heads) and T (tails) are the two potential outcomes for each coin (Tails). //