INSTRUCTIONS: 1.) Draw the possible outcomes of the following (5 items) 2.) Choose the letter of the correct answer (5 items) 1. What is the probability of getting a number divisible by 3 in one roll of a die? 2 A. 3 B. 1/3 C. 12 D. 2. What is the probability of getting 2 heads of 2 coins tossed once? A. 1/3 B. 2/4 C. 1 D. 34 3. What is the probability of getting a sum of numbers 1-7 if 2 dice were rolled once? A. 1/3 B. 5/18 C. 7/12 D. 15/36 4. What is the probability of getting 1 head of a coin flipped 3 times? A. 1/3 B. 3/8 C. 2/8 D. 5. What is the probability of getting a number divisible by 2 in a die? A. B. 3/6 C. 2/6 D. 5/6 Construct a random variable and find the Mean of the following. (Please include Table of Random Variables) 1. Number of tails if 3 coins are flipped once. 2. Number of heads if two coins are flipped once. 3. Number of even numbers in a die. 4. Sum of even numbers if a pair of dice are rolled once. 5. Marbles numbered 1, 2, 3 and 4 were placed in a fishbowl. 1 were drawn four times, 2 were drawn thrice, 3 were drawn twice, and 4 were drawn once. Find the mean of the number of times the marbles were drawn. There are 10 balls. A number is picked from a jar containing two 2s, three 4s, and five 6s. The balls were mixed, and one is recorded. Then it is replaced. If the experiment is repeated many times, find: a) Construct a probability distribution table of the random variable X b) Solve for the mean c) Compute the variance d) Give the value of standard deviation