Directions: Choose the letter that you think the best answer to the question. Write your answer on the space provided before each item. 1. It is a type of random variable that has a nite number of elements but can be represented by whole number. a. discrete b. continuous e. measured (1. counted 2. It is a type of random variable that has an innite number of possible values. a. discrete b. continuous e. measured (1. counted 3. What likely would be the shape of a normal probability distribution? a. parabola b. bell-shaped e. ellipse d. ellipsoid 4. In a normal probability distribution, the total area under the normal curve is . a. is always equal to 0 b. is always equal to l c. is more than 1 d. is less than 1 5. What type of graph to use in illustrating discrete random variable? a. Histogram b. Bar Graph 0. Line Graph (1. Pie Graph 6. If two coins are tossed, which is NOT a possible value of the random variable for the number of heads? a. O b. l e. 2 d. 3 7. What is the mean and standard deviation of the standard normal distribution? a. mean=0; SD=0 b. mean=l; SD=l c. mean=0; SD=l d. mean=l; SD=0 8. The motorcycle speed of drag racers here in Madaum is an example of what type of random variable? a. discrete b. continuous 0. measured (1. counted 9. When the population variance is not known 1n computing the condence interval which of the following statement is false? a. There are samples to be taken from the population. b. Sample mean will be computed. c. Use the Central Limit Theorem. (1. t-distribution will be used 10. A , usually written X, is a variable whose possible values are numerical outcomes of a random phenomenon. a. discrete b. continuous e. sample variable (1. random variable 11. Suppose three coins are tossed. Determine the sample space. Let H represents head and T represents tail. a. S: {TTT, TTH,T}H1, HHH} c. S b. S: {TTT, TTH, THT, HTT, HHT, HTH, THH, HHH} d. S 12. The Greek letter M is used to denote { TTlT TTH, THT, THH, HHH} {012 3} a a a. standard deviation b. variance e. variable (1. mean 13. The Greek letter 0' is used to denote a. standard deviation b. variance e. variable (1. mean 14. It is a continuous, symmetric, bell-shaped distribution of a random variable. a. probability distribution b. variance c. normal distribution (1. standard deviation 15. Find the raw score given the following: 2: 1.5 N(10,4) a. 6 b. -4 c. 10 d. l6 16. Which of the following statements is the characteristic of a normal probability distribution? a. The mean, mode, and median are equal. b. The mean, mode, and median are not equal. e. The mean and mode are equal while the median is greater than zero. (1. The mean and mode are equal while the median is less than zero. 17. The formula in finding the mean of a probability distribution is: a.,u:EX-P(X) b y= e.,u:EX -N d.u=% 18. Which of the following rules state that almost all data fall within the 1, 2, and 3 Standard Deviation of the Mean when the population is normally distributed? a. Empirical Rule 0. Pascal's Triangle Rule b. Lottery Rule (1. Sampling rule 19. Which sampling distribution is used if the population variance is unknown and/or if the sample size is small? a. z-distribution b. p-distribution e. t-distribution d. e-distribution 20. About of a score distribution is between z=0 and z=l. a. 68% b. 34% c. 13.5% d. 95% 21. From past experience, a company has found that in a carton of chargers, 92% contains no defective chargers, 3% contains one defective chargers, 3% contains two defective chargers, and 2% contains three defective chargers. What is the mean of the probability distribution? a. 0.125 b. 0.875 c. 0.150 d. 0.037 22. What is the variance in item number 21? a. 0.21 b. 0.31 e. 0.11 d. 0.41 23. Which formula gives the probability distribution shown by the table? X 2 3 6 P(X) 1/2 1/3 1/6 a. P(X) =1/X b. P(X) =X/6 e. P(X) =6/X d. P(X) =1/6 For items 24-25, refer to the problem below. Suppose that 600 students and employees got randomly selected to get a vaccination against NCOV from a school population of 10,000. All 600 got exposed to the virus and 400 Of them did not get the u. 24. Find the marginal error at 99% condence level. a. 0.1542 b. 0.0652 0. 0.0495 (1. 0.7564 25. Find the closest length of the condence interval at 99% confidence level. a. 0.079 b. -0.079 c. 0.099 d. 0.99 For items 26-28, refer to the robability distribution shown below. X (p 0 2 l 4 l 6 8 P(X) l 1/5 us i US l 1/5 1/5 26. What is the mean of the probability distribution? a. 1.5 b. 2.0 c. 3.5 d. 4.0 27. What is the variance of the probability distribution? a. 4.15 b. 6.35 e. 8.0 d. 7.50 28. What is the standard deviation of the probability distribution? a. 2.83 b. 4.32 c. 1.75 d. 8.1 29. Which of the following sample size n will not let you apply the central limit theorem? a. n=35 b. n=50 e. n=28 d. n=100 30. What distribution pertains to the frequency distribution of the sample mean from all the possible random samples of a particular sample size n taken from the given population? a. frequency b. normal c. population (1. sampling