III. MULTIPLE CHOICE. Read and understand each statement carefully. Write your correct answer on the space before the number. All answer must be in CAPITAL LETTER. (2 points each) 1. The sum of all probabilities of a discrete random variable X is equal to a. 0 b. 1 c. 2 2. A random variable is if its set of possible outcomes is countable. a. Discrete b. Continuous c. split 3. Which of the following is a continuous random variable? a. Philippine population b. SHS students c. temperature 4. Which of the following is more variable, that is the values of random variable are farther from the mean? a. Var(X) = 1.2 b. Var(X) = 2.0.1 c. Var(X) = 2. 98 5. Expected value of random variable X is also known as which of the following? a. Standard Deviation b. variance c. Mean 6. In a probability distribution, one of the values of random variable X has a negative probability, and the sum of all probabilities is one. Which of the following is True? a. it is a pmf b. it is not a pmf c. can't be determined 7. Which of the following is a discrete random variable? a. weight of grade 1 pupils b. volume of water c. number of books 8. If x is not an element of the Support S of the random variable X, then the probability of that x is a. Negative b. 0 c. greater than 0, but less than 1 9. A player draws a card at random from a standard deck of 52 cards. If the card drawn is red, the players wins 1,000.00 but if it is black, he loses the same amount. What is the expected value of the game? a. 0 b. 1 c. 2 10. It is a table that gives a list of probability values along with their associated value in the range of a discrete random variable. a. Probability distribution b. PMF c. Both