question 1: Suppose a random variable,x, arises from a binomial experiment. Ifn= 14, andp= 0.13, find the P(X = 3) using Excel. Round answer to 4 decimal places.

Question 2: It is known that20% of adult workers have a high school diploma. If a random sample of 5adult workers is selected, what is the expected number of adult workers with a high school diploma?(That is, what is E(X)?)(Do not roundanswer)

Question 3: Approximately 10% of all people are left-handed. Out of a random sample of 15 people, what is the probability that 4 of them are left-handed? Round answer to 4 decimal places.

Question 4: Find the probability of rolling a sum of two dice that is more than 7. Round answer to 4 decimal places.

Question 5: Suppose a random variable,x, follows a Poisson distribution. Let = 2.5every minute, find the P(X 125)over an hour. Round answer to 4 decimal places.

Question 6: It is known that70% of adult workers have a high school diploma. If a random sample of 6adult workers is selected, what is the probability that 5or more of them have a high school diploma?(That is, find P(X5))(keep 4 decimal places)