Determine whether the following experiments satisfy the conditions for a binomial probability experiment. A die is rolled twice and the sum that occurs is recorded.

Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events:E:{ The sum of the numbers is even }F:{ The difference of the numbers is 3 or more }Find the following probability: P(E and F) =

Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15   Is this model a probability distribution? A. Yes. B. No. C. Maybe.

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. An investor randomly purchases 18 stocks listed on a stock exchange. Historically, the probability that a stock listed on this exchange will increase in value over the course of a year is 46%. The number of stocks that increase in value is recorded. Does the probability experiment represent a biniomial experiment? O A. No, because there are more than two mutually exclusive outcomes for each trial. B. Yes, because the experiment satisfies all the criteria for a binomial experiment. C. No, because the trials of the experiment are not independent. D. No, because the probability of success differs from trial to trial.