1. Which of the following is a discrete random variable? * 2 points the average amount of electricity consumed the average weight of PBA players the number of COVID patients in the whole world the amount of paint in repainting a building 2. If two coins are tossed, which is not a possible value of the random variable for the number of heads? * 2 points 2 0 3 1 3. Which of the following is not a TRUE statement? * 2 points The probability of the value of a random variable could be zero. Random variables can only have one value. The sum of all probabilities in a probability distribution is always equal to one. The value of a random variable could be zero. 4. Which formula gives the probability distribution shown in the table? X 2 3 6 P(X) 1/2 1/3 1/6 * 2 points P(X) = 1/6 P(X) = 6/X P(X) = 1/X P(X) = X/6 5. If P(X) = X/6, what are the possible values of X for it to be a probability distribution? * 2 points 2, 3, 4 0, 2, 3 1, 2, 3 1, 1, 2 For numbers 6 - 8, refer to the probability distribution shown X 0 1 2 3 P(X) 1/8 3/8 3/8 1/8 6. What is the mean probability distribution? * 2 points 1.5 1.2 1.6 1.8 For numbers 6 - 8, refer to the probability distribution shown X 0 1 2 3 P(X) 1/8 3/8 3/8 1/8 7. What is the variance of the probability distribution? * 2 points 0.50 1.25 0.75 1.00 For numbers 6 - 8, refer to the probability distribution shown X 0 1 2 3 P(X) 1/8 3/8 3/8 1/8 8. What is the standard deviation of the probability distribution? * 2 points 1.00 0.87 0.71 1.12 For numbers 9 - 10, refer to the probability distribution shown below. X 0 2 4 6 8 P(X) 1/5 1/5 1/5 1/5 1/5 9. What is the mean of the probability distribution? * 2 points 2.0 4.00 1.5 3.5 For numbers 9 - 10, refer to the probability distribution shown below. X 0 2 4 6 8 P(X) 1/5 1/5 1/5 1/5 1/5 10. What is the variance of the probability distribution? * 2 points 7.5 4.15 6.35 8.00 11. Which of the following is NOT a property of a probability distribution? * 2 points The sum of the probabilities of all values of the random variable must be non-negative. The sum of the probabilities of all values of the random variable must be equal to one. The probability of each value of the random variable must be between 0 and 1. The sum of the probabilities of all values of the random variable must less than or equal to one. 12. Which of the following is NOT a step in finding the variance of a probability distribution? * 2 points Subtract the sum of the product of the square of the random variable and its corresponding probability from the mean. Subtract the square of the mean from the sum of the product of the square of the random variable and its corresponding probability. Find the sum of the product of the square of the random variable and its corresponding probability. Find the mean of the probability distribution. 13. The capacity of water dams in a region * 2 points discrete continuous 14. The number of deaths in the Philippines last December. * 2 points continuous discrete 15. The average height of Grade 1 pupils in Pantay Elementary School * 2 points discrete continuous 16. Audience of BBM - Sara rally in Quezon City last week. * 2 points discrete continuous 17. What is the probability of getting an even number in a single roll of a die? * 2 points 1/6 1/3 1 1/2 18. What is the probability of getting a red queen in a deck of cards? * 2 points 0.769 76.9 0.76 7.69 19. The probability that all children are boys if a couple has 3 children * 2 points 3/4 1/4 1/8 1/2 20. What is the probability of getting a sum of 7 when two dice are rolled? * 2 points 1/2 1/6 1/8 1/4 21. What must be the value of the probability of each random variable? * 2 points P(X) 0 P(X) 1 0 P(X) 1 -1 P(X) 1 22. Which of the following values is not a value of a probability of the random variable? * 2 points 0.5 1.05 0.05 1 23. Lifetime in hours of 15 flashlights * 2 points continuous discrete 24. The capacity of water in Magat dam * 2 points discrete continuous 25. Which of the following is a probability distribution? * 3 points P(1) = 10/33, P(2) = 1/3, P(3) = 12/33 P(1) = 0.08, P(2) = 0.12, P(3) = 1.03 P(1) = 2/7, P(2) = 4/14, P(3) = 5/14 P(1) = 0.42, P(2) = 0.31, P(3) = 0.37 Other: 26. Determine whether the distribution represents a probability distribution. * 3 points X 4 8 12 16 20 P(X) 1/5 1/8 1/8 1/5 1/8 X 1 3 5 7 P(X) 0.35 0.25 0.22 0.12 X 0 2 4 6 8 P(X) 1/6 1/6 1/3 1/6 1/6 X 1 5 8 7 9 P(X) 1/3 1/3 1/3 1/3 1/3 1/3 Other: 26. Determine whether the distribution represents a probability distribution. * 3 points P(1) = 0.12, P(2) = 0.28, P(3) = 0.49, P(4) = 0.11 P(1) = 0.25, P(2) = 0.25, P(3) = 0.25, P(4) = -0.25 P(1) = 0, P(2) = 0.45, P(3) = 0.25, P(4) = 0.33 P(1) = 1/19, P(2) = 10/19, P(3) = 5/19, P(4) = 5/19 27. The probabilities that a depositor will invest P100,000, P250,000, P 180,000 are 1/4, 1/4 and 1/4 respectively. Is the probability possible? * 2 points No Yes 28. The probabilities that a customer buys 2, 3, 4, 5 or 6 items in a convenience store are 0.32, 0.12, 0.23, 0.18, and 0. 15 respectively. Is the probability possible? * 2 points No Yes 29. The probabilities that a bias die will fall as 1, 2, 3, 4, 5 or 6 are 1/6, 1/2, 1/12, 1/12, 1/12, 1/3 and 1/6 respectively. Is the probability possible? * 4 points Yes No 30. The daily demand for copies of a movie magazine at a variety store has the probability distribution as follows. X 0 1 2 3 4 5 6 7 8 9 10 P(X) 0.06 0.14 0.16 0.14 0.12 0.10 0.08 0.07 0.06 0.04 0.03. What is the probability that three or more copies will be demanded in a particular day? * 3 points 0.80 0.90 0.64 0.16 31. The daily demand for copies of a movie magazine at a variety store has the probability distribution as follows. X 0 1 2 3 4 5 6 7 8 9 10 P(X) 0.06 0.14 0.16 0.14 0.12 0.10 0.08 0.07 0.06 0.04 0.03. What is the probability that the demand will be at least 2 but not more than 6? * 3 points 0.67 0.44 0.52 0.60 32. The daily demand for copies of a movie magazine at a variety store has the probability distribution as follows. X 0 1 2 3 4 5 6 7 8 9 10 P(X) 0.06 0.14 0.16 0.14 0.12 0.10 0.08 0.07 0.06 0.04 0.03. What is the probability that the demand will be at most 7? * 3 points 0.87 0.13 0.20 0.80 33. The daily demand for copies of a movie magazine at a variety store has the probability distribution as follows. X 0 1 2 3 4 5 6 7 8 9 10 P(X) 0.06 0.14 0.16 0.14 0.12 0.10 0.08 0.07 0.06 0.04 0.03. What is the probability that the demand will be greater than 7? * 3 points 0.20 0.13 0.87 0.80 34. The daily demand for copies of a movie magazine at a variety store has the probability distribution as follows. X 0 1 2 3 4 5 6 7 8 9 10 P(X) 0.06 0.14 0.16 0.14 0.12 0.10 0.08 0.07 0.06 0.04 0.03. What is 3 < P(X) < 10? * 3 points 0.52 0. 50 0.47 0.64 35. The number of cars sold per day at a local dealership, along with its corresponding probabilities, as shown. X (Number of Cars Sold) 0 1 2 3 4 5 P(X) 1/10 1/5 3/10 1/5 1/5. Find its mean, variance and standard deviation. * 20 points