In: Math
1.Which of the following is not a characteristic of a binomial random 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 random variables(multiple answers)
a. one hundred randomly selected individuals are asked about their opinion on health insurance
b. one hundred people at a bar are asked about whether they are for or against restricting the sale of alcohol
c. one hundred randomly selected people are asked if they are in favor of a single payer health care system
d. one hundred randomly selected individuals are asked abut their marital status
3. Supposed that the probability of a randomly selected individual developing side effects from a new diet is 20%. If ten subjects are testing the diet, what is the probability that exactly 3 individuals develop side effects? (enter your answer as follows: 10.1%)
4. Suppose that the probability of a randomly selected individual developing side effects from a new diet is 20%. If ten subjects are testing the diet, what is the probability that at most 3 individuals develop side effects? (enter your answer as follows: 10.1%)
5. Suppose that the probability of a randomly selected individual developing side effects from a new diet is 20%. What is the expected number of subjects that would develop side effects if 500 individuals tested the diet?
6. Suppose that the probability of a randomly selected individual developing side effects from a new diet is 20%. Would it be unusual if only 35 out of 400 individuals trying the diet developed side effects?
a. yes, since the probability of 35 cases out of 400 is less than 1%
b. yes, since the 35 cases are more than two standard deviation from the mean
c. all of the above
d. none of the above