STATISTICS AND PROBABILITY

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Direction: MULTIPLE CHOICES: Choose the letter of the correct answer. Write your answer on separate sheet of paper. 1. Which of the following is a discrete random variable? a. the number of patients in a hospital c. the average weight of a female athlete b. the amount of paint used in repainting a building d. the average amount of electricity consumed 2. Which of the following random variables is continuous? a. the amount of time to finish a book. c. the number of students who passed the exam b. the number of correct answers in a 20-item quiz d. the number of bottles of distilled water sold in a day 3. The number of dropout in a school district for a period of 10 years, is an example of a. continuous random variable c. discrete random variable b. both continuous and discrete random variable d. none of the above 4. Which of the following is nor a continuous random variable? a. the speed of a car c. the number of voters b. the time needed to finish the test d. the weight of the newborn each year 5. If three coins are tossed and Y represents the number of heads that occur, find the values of the random variable Y. 8. 0.1,2, and 3 b. 1,2,3,and 4 c. 1,2 and 3 d. 0,1 and 2 6. Find the values of the random variable of X, if X represents the number of tails that occur if two coins are tossed. a. 0,1,2, and 3 b. 1,2,3,and 4 c. 1,2 and 3 d. 0,1 and 2 7. If two coins are tossed, which is not a possible value of the random variable for the number of heads? a. 0 b. 1 c. 2 8. Which of the following is not true statement? a. The value of a random variable could be zero. b. Random variables can only have one value. c. The probability of the value of a random variable could be zero. d. The sum of all the probabilities in a probability distribution is always equal to one. 9. In tossing 3 coins, what is the probability of getting at 2 heads? a. 1/8 b. 1/2 c.3/8 d. 1 10. Three cards will be chosen from a deck of regular playing cards. Let X be the number of king cards. What are the possible values for X? a. X = 0,1,2,3 b. X = 1,2,3 c. X = 1,2,3,4 d. X = 0,1,2,3,4 1 1. What is the sum of the probabilities of a random variable X in a probability mass function? a. 1/2 b. 3/4 C. 1 d. cannot be determined 12. Which of the following determine a Discrete Probability Distribution. X 0 2 3 X 2 3 P(X) 1/5 2/5 1/5 1/5 C . P ( X) 2/7 1/7 5/7 1/7 X 0 2 3 X 0 2 3 b. P(X) 0.512 301 0.132 0.505 d. P(X) | 0.42 0.11 0.28 0.1913. Which of the following is not a probability distribution? X 0 1 2 3 X 2 3 P(X) 1/8 1/4 1/2 1/8 P(X) 0.25 0.50 0.25 b X 0 2 X 0 P(X) 1/3 1/3 13 4/3 2 3 P(X) 1/3 1/6 1/6 13 For nos, 14 to 16, consider the given problem below. The probabilities that a surgeon operates on 3,4,5,6 or 7 patients in any one day are 0.15,0.20,0.25,0.20, and 0.20 respectively. 14. Which of the following represent the probability distribution of the given problem? X 3 4 5 G X 3 14 5 6 7 P(X) |0.15 0.20 0.25 0.20 0.20 P(X) |0.15 |0.20 0.20 0,20 10.25 b. X 3 4 5 6 7 X 3 4 5 G P(X) 0.20 0.15 0.25 |0.20 0.20 P(X) | 0.20 1 0.20 0.20 0.20 0.20 15. What is the p of the probability distribution? a. 5.1 b. 1.79 c. 1.34 d. 27.8 16. Solve for o 2 a. 5.1 b. 1.79 0. 1.34 d, 27.8 17. If P(X) =~, what are the possible values of X for it to be a probability distribution? a. 0, 2,3 out hal b. 1,2,3 c. 2,3,4 d. 1,1,2 For nos, 18 to 20, consider the given problem below. The random variable Y representing the number of red m&m's chocolates per 160 gram pack that has the following probability distribution 18. Find the mean. X 5 P(X) 0.10 0.37 0.33 0.20 9. 0.83 G. 0.91 b. 5.63 d, 32.53 19. What is the value of o?? a, C.83 b. 0.91 c.5.63 d. 32.53 20. Soive for the value of o. a. 0.91 b. 0.83 d. 32.53 21.Let X be the number of encoding errors a student makes on a given page. What is the probability of his her committing 0. 5.63 exactly 1 error? Refer to the given table below. X 0 2 3 c.0.21 P(X) 0.19 0.38 0.24 b. 0.19 d. 0.23 For nos. 22 and 23, refer to the given probability distribution below. X 3 P(X) 1/8 3/8 3/8 1/8 22. What is the mean of the probability distribution? d.1.8 a. 1.5 b. 1.2 c. 1.623. What is the variance? a. 0.75 b. 1.00 c. 1.25 d.0.50 For nos. 24 to 26, use the given probability distribution below. X 0 2 4 6 8 2218.0. P(X) 1/5 1/5 1/5 1/5 1/5 24. What is the u of the probability distribution? 8. 1.5 b. 2.0 c.3.5 d.4.0 25. Solve for 62. a. 4.15 b. 6.35 c. 8.00 mix to d.7.50 26. Solve for o . A. 4.15 b. 6.35 c. 8.00 d.7.50