Directions: Read each item carefully and write the correct answer...

Directions: Read each item carefully and write the correct answer in the space provided before the number. _______ 1. Which of the following is NOT a discrete variable? A. Number of white marbles in the box. B. Number of students present in the classroom. C. The weight of a box of soft drinks labeled "8 ounces." D. The number of customers arrived in the restaurants between 7:00 a. m to 5:00 p.m. _________ 2. Which of the following statement describe a continuous random variable? A. The average distance traveled by a jeep in a week. B. The number of students present in a Class Anthurium. C. The number of motorcycles owned by a randomly selected household. D. The number of girls taller than 5 feet in a random sample of 10 girls. _________ 3. Which of the following is a variable whose value is obtained by measuring? A. Continuous B. Discrete C. Interval D. Nominal _________ 4. You decide to collect a bunch of bottles of soft drink and measure the volume of soft drink in each bottle. Let X be the number of milliliter (ml) of soft drink in each bottle. What type of variable is X? A. X is a constant. B. X is a place holder. C. X is a discrete random variable. D. X is a continuous random variable. _________ 5. Which of the following statements describe a discrete random variable? A. The length of span of a 10-months baby. B. The average increase in height of a baby each year. C. The average increase in weight of a baby each year. D. The number of avocados produced by an avocado tree each year. _________ 6. X is the time it takes a chef to cook a specific dish, is a continuous random variable. Why do think the variable X in the statement becomes continuous? The variable X is continuous because it takes.... A. a range of values B. takes a countable value. C. an integral value. D. a specific numerical value __________ 7. If a coin is tossed, what are the possible values of the random variable for the number of heads? A. 0, 1 B. 0, 1, 2 C. 1, 2, 3 D. 0, 1, 2, 3 __________ 8. Suppose you tossed two coins. What are the sample spaces for the experiment above? A. HH, TT B. HH, TH, TT C. HH, HT, TT D. HH, HT, TT, TH __________ 9. If you tossed a die, which of the following is NOT a possible value of the random variable X representing the number of dots appeared at the top after tossing the die? A. 1 B. 7 C. 6 D. 3 __________ 10. The following table shows the probability distribution of a discrete random variable X. Find the value of n. X 2 4 6 P(X) 0.40 0.15 n A. 0.15 B. 0.25 C. 0.45 D. 0.6 _________ 11. What do you call the weighted average of the possible values that a random variable can take? A. Variance of discrete random variable B. Simple Variance C. Mean of discrete random variable D. Simple Mean __________ 12. Which tells us how much we can expect results to deviate from expected value? A. Variance of discrete random variable B. Simple Variance C. Mean of discrete random variable D. Simple Mean __________ 13. Which of the following statements is a description of low variance? A. The probability of scores is almost the same as the mean. B. The data are close to the mean. C. Both statements A and B D. None of the above __________ 14. Which of the following statements is a description of high variance? A. The probability of scores is almost the same as the mean. B. The probability of scores are scattered around the mean. C. The data are closed to the mean D. All of the above. __________ 15. What must be the sum of the probabilities P(X) of all the values in the discrete random variable? A. 1% B. 10% C. 100% D. 1 000% __________ 16. What measure should you use to determine what most likely be the probability of an event to happen? A. Variance of discrete random variable B. Simple Variance C. Mean of discrete random variable D. Simple Mean __________ 17. What measure should you use to determine how far or close the probability of events from the center or the mean? A. Variance of discrete random variable B. Simple Variance C. Mean of discrete random variable D. Simple Mean For numbers 18 - 20, use the given data: __________ 18. Based from the data given, more likely, how many boxes of face mask would the pharmacy sell per day? A. 5 B. 6 C. 9 D. 10 __________ 19. What is the mean of the discrete random variable? A. 5.9 B. 6.9 C. 7.9 D. 8.9 __________ 20. Which of the following statements best interpret the computed mean? A. The pharmacy would sell more or less 8 boxes of face mask per day. B. The pharmacy would sell more than 7 boxes of face mask per day. C. The pharmacy would sell exactly 7 boxes of face mask per day. D. The pharmacy would sell 8 boxes of face mask per day. _______ 1. Which of the following is a variable whose possible values are determined by chance? A. Dependent Variable B. Independent Variable C. Extraneous Variable D. Random Variable _______ 2. What must be the sum of all the probabilities of a random variable? A. 0 B. 1 C. 2 D. 3 _______ 3. Which of the following is a discrete random variable? A. Height of basketball player B. Weight of a newborn baby C. Number of books in the library D. Length of time in watching TV ________ 4. Mean is the expected value or the weighted average of all the values that the random variable X would assume. What are the steps in computing the mean of a discrete random variable? I. Add the results obtained in multiplying the random variable X by the corresponding probability. II. Construct the probability distribution for the random variable X. III. Multiply the value of the random variable X by the corresponding probability. A. III, II, I B. I, II, III C. II, III, I D. III, I, II ________ 5. 9. A random variable X can take only two values, 1 and 2, P (1) = 0.8 and P (2) = 0.2. What is the variance of X? A. 0.16 B. 0.26 C. 0.4 D. 0.76 For numbers 6-7, 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 ________ 6. What is the mean of the probability distribution? A. 1.5 B. 2.0 C. 3.5 D. 4.0 ________ 7. What is the variance of the probability distribution? A. 4.15 B. 6.35 C. 8.00 D. 7.50 For numbers 8-9, refer to the problem below. ________ 8. What is the mean of the probability distribution? A. 0.10 B. 0.15 C. 0.20 D. 0.25 ________ 9. What is the variance of the probability distribution? A. 0. 3075 B. 0. 2525 C. 0.3500 D. 0.4275 ________ 10. 1. Which of the following illustrations represents normal distribution? A. B. C. D. ________ 12. What is another name for normal distribution? A. Gaussian distribution B. Poisson distribution C. Bernoulli's distribution D. Probability distribution ________ 13. What is the total area in the distribution under the normal curve? A. 0 B. 1 C. 2 D. 3 ________ 14. Which of the following is a parameter of normal distribution? A. mean B. standard deviation C. mean and standard deviation D. none of the above ________ 15. The graph of a normal distribution is symmetrical about the . A. mean B. standard deviation C. mean and standard deviation D. none of the above ________ 16. What percent of the area under a normal curve is within 2 standard deviations? A. 68.3% B. 95.4% C. 99.7% D. 100% ________ 17. How many standard deviations are there in each inflection point? A. 0 B. 1 C. 2 D. 3 ________ 18. Which of the following denotes the standard normal distribution? A. A B. X C. Y D. Z ________ 19. A random variable X has a mean of 12 and a standard deviation of 3.2. What is the corresponding z-score for x = 8? A. -1.25 B. -1.50 C. -1.75 D. -2.25 ________ 20. What is the area under the normal curve if the z-score given is 2.14? A. 0.9830 B. 0.9834 C. 0.9838 D. 0.9842 __________1. What is being represented by z in the equation z=(x-p)/σ A. Normal Random Variable B. Standard Normal Variable C. Mean of the scores D. Standard Deviation _________ 2. Which symbol represents population mean? A. σ B. ¯ C. μ D. z _________ 3. Pedro, a garbage collector decided to sort soda cans to earn extra income. Let x = the total number of soda cans that he will collect for each day. What type of variable is x? Concrete B. Continuous Random C. Discrete Random D. Not a Random Variable ________ 4. The government suggested the implementation of National ID. Maria, and Juan were tasked to conduct census to take the total of legible people who can avail the said ID in San Juan, La Union. Let x = the total number of people that will be reflected in their census. What type of variable is x? A. Constant B. Continuous Discrete Random C. Discrete D. Not a Random Variable ________ 5. What table is used to know the percentage under the curve at any particular point? A. s-table B. t-table C. v-table D. z-table ________ 6. Which best describes the data below? -1.5 μ A. All data is -1.5 >μ. B. All data is -1.5 <μ. C. All data is -1.5 or lower. D. All data is -1.5 or higher. ________ 7. Which best describes the data below? μ A The scores are lower than the mean. The scores are higher than the mean. The scores could be equal or lower than the mean. The scores could be equal or higher than the mean. __________ 8. Refer to the figure in item 7, what property of normal curve is being presented? A The total area under the curve is 1. B. The curve is symmetric at the center. C. Each division reflects 50% probability. D. The mean is in the middle part of a normal curve. __________ 9. Which is true among the following? A. Converting standard normal variable to normal random variable has the formula z=(X+μ)/σ B. Converting standard normal variable to normal random variable has the formula z=(X-μ)/σ C. Converting standard normal variable to normal random variable has the formula x=μ+σz D. Converting standard normal variable to normal random variable has the formula x=μ-σz _________ 10. A standard normal distribution has which of the following properties? A. The mean is equal to the standard deviation. B. The mean and the standard deviation both equal 1. C. The mean is equal to the standard deviation. D. The mean is equal to 0 and the standard deviation is equal to 1. _________ 11. What word refers to the totality of subjects under consideration? A. Parameter B. Population C. Sample D. Statistic ________ 12. Which of the following refers to a portion taken from the total number of subjects? A. Parameter B. Population C. Sample D. Statistic ________ 13. What do we call the descriptive measures computed from the population? A. Parameter B. Population C. Sample D. Statistic ________ 14. Which of the following refers to the calculated value from a sample? A. Parameter B. Population C. Sample D. Statistic ________ 15. Which sampling technique is illustrated when each member of the population is given equal chance to be chosen as part of the sample? A. Random Variable B. Random Sampling C. Sampling Distribution D. Sample Statistic ________ 16. Which of the following terms is the same as the word average? A. Mean B. Variance C. Sample Size D. Standard Deviation ________ 17. How many different samples of size n = 3 can be selected from a population with the size N = 4? A. 2 B. 3 C. 4 D. 5 ________ 18. What do we call the difference between the sample mean and the population mean? A. Correction Factor B. Probability Distribution C. Sampling Error D. Sampling Distribution ________ 19. A group of modules has the following number of pages: 12, 16, 20, 24 and 28. Consider samples of size 3 that can be drawn from this population. The following could possibly be a sample EXCEPT ONE. Which is the exception? A. 12, 16, 20 B. 16, 20, 28 C. 20, 24, 28 D. 16, 20, 22 _________ 20. A jar contains the number 1, 3 and 5. If you got samples of size 2 from this population and compute the mean of each sample, what are the sample means that you will be able to get? A. 0, 1, 2 B. 1, 2, 3 C. 2, 3, 4 D. 3, 4, 5 _________ 1. Which of the following is correct about the sampling distribution of the sample mean using the Central Limit Theorem? A. The mean of the sampling distribution of the means is not equal to the mean of the population. B. As the sample size n increases, the sampling distribution of the means approaches a normal distribution. C. The variance of the sampling distribution of the means is equal to the variance of the population multiplied by the sample size n. D. The standard deviation of the sampling distribution of the means is equal to the standard deviation of the population multiplied by the square root of the sample size n. ________ 2. Which of the following refers to the standard deviation of a sampling distribution? A. It is the sum of squares. B. It is the standard error of the mean. C. It only applies only to population data. D. It can be larger than the standard deviation for the population. ________ 3. Who is the French-born Mathematician who proved the first version of the Central Limit Theorem? A. Abraham de Moivre B. Aristotle C. Aleksander Lyapunov D. Rene Descartes ________ 4. Which of the following properties describes the sampling distribution of the sample mean? A. The mean of the sampling distribution of the means is equal to the mean of the population. B. As the sample size n decreases, the sampling distribution of the means approaches a normal distribution. C. The variance of the sampling distribution of the means is equal to the variance of the population multiplied by the sample size n. D. The standard deviation of the sampling distribution of the means is equal to the standard deviation of the population multiplied by the square root of the sample size n. ________ 5. Which of the following statements best illustrates a z-value? A. The z-value leads to the area under the curve found in the normal curve table. B. The z-value leads to the area under the curve found in the normal distribution table, which is a probability. C. The z-value leads to the area under the curve found in the normal curve table, which is a percentage, and that percentage gives the desired probability for X. D. The z-value leads to the area under the curve found in the normal curve table, which is a probability, and that percentage gives the desired percentage for X. ________ 6. Which of the following describes the central limit theorem? A. The mean of the sampling distribution of the means is not equal to the mean of the population. B. As the sample size n decreases, the sampling distribution of the means approaches a normal distribution. C. The variance of the sampling distribution of the means is equal to the variance of the population multiplied by the sample size n. D. The standard deviation of the sampling distribution of the means is equal to the standard deviation of the population divided by the square root of the sample size n. ________ 7. Which of the following statements is correct about mean of the samples? A. The mean of the sample is less than the population mean. B. The mean of the samples is greater than the population mean. C. The means of the samples drawn from a population are always equal to the population mean. D. The means of the samples drawn from a population may be equal, greater than or less than the population mean. ________ 8. Which of the following refers to the frequency distribution using the means computed from all possible random samples of a specific size take from the population? A. Population Distribution B. Frequency Distribution Table C. Sampling Distribution of the Sample Means D. Sampling Distribution of the Population Mean ________ 9. Which of the following is used when computing for the probability ̅x that will take on a value within a given range in the sampling distribution of the sample mean? _______ 10. What is the mean of sampling distribution if mean of population is 25? A. 25 B. 5 C. 30 D. 35 _______ 11. What is the standard deviation of sampling distribution if standard deviation of population is 35 and sample size is 9? A. 11.67 B. 12.67 C. 13.67 D. 14.67 _______ 12. If a population has a mean of 6.5, what is the mean of the sampling distribution of its means? A. 5.6 B. 6.5 C. 6.7 D. 65 For numbers 13-15, use the problem below. The average time it takes for high school students to complete certain examination is 46.2 minutes. The standard deviation is 8 minutes. There will be 50 random samples to be selected. Assume that the variable is normally distributed. _______ 13. What is the population mean in the given problem? A. 0 B. 8 C. 46.2 D. 50 _______ 14. What is the value of n in the given problem? A. 0 B. 8 C. 46.2 D. 50 _______ 15. If 50 random selected high school students take the exam, what is the probability that the mean time it takes the group to complete the test will be less than 43 minutes? A. 0.23% B. 2.3% C. 3% D. 23% TASK 1 Make a study about how many sheets of paper you consumed weekly in answering your Self Learning Modules. Record the quantity (total number of sheets) per subject, then construct a probability distribution.Compute the mean, variance, and the standard deviation of the probability distribution you made. Interpret the result, then find out how many weeks you will consume 50 sheets of pad paper. TASK 2 Deepen TASK 3 Solve Me