a. Explain why x is a discrete random variable. O A. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely. O B. The event x is a discrete random variable because the values of the random variable are countable. O. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. OD. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals. b. Find p(x) for x = 0, 1, 2, 3, 4, 5. 1 3 4 p(x) (Type integers or decimals rounded to three decimal places as needed.) c. Check that the properties for a discrete probability distribution are satisfied. Select all that apply.

Suppose D and C are independent events in the same sample space. If we know that Pr [D] = ½ and Pr[C] = ½, Pr[DUC] determine Pr DUC A. 8 35 26 B. 35 9 C. 35 6 D. E. 27 35

Let E and F be mutually exclusive events in a sample space S. The odds that E occurs are 3:5 and the odds F occurs are 2:8. If it is known that either E or F occurred, what are the odds that the event was E? The odds that E occurred areDO (Type whole numbers. Simpity your answer.)

K What is the difference between an outcome and an event? (...) Choose the correct answer below. O A. An event is the result of a single probability experiment. An outcome is the set of all possible events. OB. An event is the result of a single probability experiment. An outcome is a set of one or more possible events. OC. An outcome is the result of a single probability experiment. An event is a set of one or more possible outcomes. O D. An outcome is the result of a single probability experiment. An event is the set of all possible outcomes.

A coin with a 0.80 probability for a tail is flipped six times. a. Find the probability of obtaining exactly five tails. b. Find the probability of obtaining exactly one head. c. True or false? The probabilities in parts a and b must be equal to each other.

L American Airlines' flights from Chicago to Atlanta are on time 60 % of the time. Suppose 14 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 2 flights are on time is %3D 2.The probability that at most 2 flights are on time is 3.The probability that exactly 7 flights are on time is = > Next Question MacBook Pro %23 & 24 3.