1.Which of the following is not a characteristic of a binomialrandom variable?

a. n identical trials

b. probability of failure is the same for each trial

c. non-correlated outcomes for each trial

d. non of the above

2. Which of the following are not binomial randomvariables(multiple answers)

a. one hundred randomly selected individuals are asked abouttheir opinion on health insurance

b. one hundred people at a bar are asked about whether they arefor or against restricting the sale of alcohol

c. one hundred randomly selected people are asked if they are infavor of a single payer health care system

d. one hundred randomly selected individuals are asked abuttheir marital status

3. Supposed that the probability of a randomly selectedindividual developing side effects from a new diet is 20%. If tensubjects are testing the diet, what is the probability that exactly3 individuals develop side effects? (enter your answer as follows:10.1%)

4. Suppose that the probability of a randomly selectedindividual developing side effects from a new diet is 20%. If tensubjects are testing the diet, what is the probability that at most3 individuals develop side effects? (enter your answer as follows:10.1%)

5. Suppose that the probability of a randomly selectedindividual developing side effects from a new diet is 20%. What isthe expected number of subjects that would develop side effects if500 individuals tested the diet?

6. Suppose that the probability of a randomly selectedindividual developing side effects from a new diet is 20%. Would itbe unusual if only 35 out of 400 individuals trying the dietdeveloped side effects?

a. yes, since the probability of 35 cases out of 400 is lessthan 1%

b. yes, since the 35 cases are more than two standard deviationfrom the mean

c. all of the above

d. none of the above