1) Which of the following represents a discrete random variable? a) A. The amount of paint used in repainting the school buildings b) B. The number of Covid patients in Pasig General Hospital c) C. The average amount of water consumption d) D. The height of Gilas Basketball Team 2) Which of the following represents a continuous random variable? a) A. The number of enrolments in the different schools in Pasig b) B. The number of visitors each day in the Pasig City Hall c) C. The number of defective bulbs produced in a factory d) D. The amount of electricity consumed 3) Which of the following statement is NOT true? a) A. Random variables can only have one value. b) B. The value of a random variable could be zero. c) C. The probability of the value of a random variable could be zero. d) D. A random variable represents numerical outcomes for different situations or events. 4) Which of the following statement is TRUE? a) A. Rolling a die has 2 possible outcomes. b) B. Rolling a die has 4 possible outcomes. c) C. Tossing a coin has 2 possible outcomes. d) D. Tossing 8coins have 8 possible outcomes. 5) How many are the possible outcomes when four coins being tossed? a) A. 2 b) B. 4 c) C. 8 d) D. 16 6) If two coins are tossed, which is NOT a possible value of the random variable for the number of heads? a) A. O b) B. 1 c) C. 2 d) D. 3 7) If three coins are tossed, what is the probability distribution of the values of the random variable having two heads? a) A. 1/8 b) B. 3/8 c) C. 1/4 d) D. 5/8 8) As shown in the table below, which formula satisfies the probability distribution? a) A. P(Y) = 1/Y b) B. P(Y) = Y/12 c) C. P(Y) = Y/9 d) D. P(Y) = 9/Y 9) Find the probability that the number of breakdowns for the machine during a given week is two. a) A. 0.15 b) B. 0.20 c) C. 0.30 d) D. 0.35 10) Find the probability that the number of breakdowns for the machine during a given week is less than two. a) A. 0.35 b) B. 0.55 c) C. 0.65 d) D. 0.85 11) Solve for the mean of the probability distribution. a) A. 1 b) B. 1.03 c) C. 1.06 d) D. 1.80 12) Solve for the variance of the probability distribution. a) A. 1 b) B. 1.03 c) C. 1.06 d) D. 1.80 13) How do you interpret the mean of the probability distribution? a) A. The average number of breakdowns for the machine per week. b) B. The probability of breakdowns for the machine per week c) C. The breakdowns for the machine per week d) D. The number of machines per week 14) What is the mean of the probability distribution? a) A. 1.18 b) B. 1.40 c) C. 2.00 d) D. 5.40 15) What does the mean of the probability distribution imply? a) A. The average number computers sold per day b) B. The probability of computers sold per day c) C. The number of computers sold per day d) D. The computers sold per day 16) Solve for the variance of the probability distribution. a) A. 1.18 b) B. 1.40 c) C. 2.00 d) D. 5.40 17) Compute for the standard deviation of the probability distribution. a) A. 1.18 b) B. 1.40 c) C. 2.00 d) D. 5.40 18) What does the standard deviation of the probability distribution infer? (NO ANSWER) a) A. The minimum numbers of computers sold per day is n units from the mean. b) B. The average number computers sold per day is n units from the mean. c) C. The maximum number of computers sold per day n units. d) D. The computers sold per day is n units. 19) Which of the following is NOT a property of normal distribution? a) A. The normal curve is symmetric about the mean. b) B. The mean, median and mode are equal. c) C. The tail is asymptotic to the base line d) D. The total area is equal to zero 20) Which of the following are the values of the and of standard normal distribution? a) A. μ = 0 and σ = 1 b) B. μ = 1 and σ = 0 c) C. μ = σ d) D. μ = 0 and σ = 0 21) Which of the following is the graph of normal probability distribution? a) b) c) d) 22) Using the “Emperical Rule” which of the following is the area under normal curve within + 2 standard deviation? a) A. 66.26% b) B. 95.44% c) C. 99.74% d) D. 100% 23) Which of the following notations denotes the shaded region of the normal curve at the right? a) A. z > -1 b) B. z < 0 c) C. -1 < z < 0 d) D. -1 < z > 0 24) The parent attendance during the First Paren t-Teacher Conference was reported to the principal as normally distributed with μ=900 and =20. Which of the following is the z-score value of the 900 parent attendees? a) A. 0 b) B. 0.1 c) C. 0.5 d) D. 1 25) The scores of the Grade 11 students in the test are normally distributed with a mean of 80 and a standard deviation of 5. Daniela is a Grade 11 student who got a z-score value of 1 on the test. Which of the following statements is true on Daniela’s score? a) A. Daniela’s score is 85 which is above the mean of the distribution. b) B. Daniela’s score is 80 which is the mean of the distribution. c) C. Daniela’s score on test is 1. d) D. Daniela got a failing score. 26) What is the area of the region to the right of z = 0.5 under the standard normal curve?k a) A. 0.3085 b) B. 0.3805 c) C. 0.5803 d) D. 0.6915 27) Which of the following is the area below z = 0.85 under the standard normal curve? a) A. 0.3023 b) B. 0.6023 c) C. 0.7023 d) D. 0.8023 28) What is the area of the region between z = -2 and z = 3 under the standard normal curve? a) A. 0.8413 b) B. 0.9759 c) C. 0.9772 d) D. 0.9974 29) The average life span of a certain light bulb is 200 days with a standard deviation of 25 days. Which of the following is the percentage of the light bulb that may last longer than 245 days? a) A. 3.59% b) B. 5.39% c) C. 10.5% d) D. 11.95% 30) What probability of her travel time is more than 30 minutes? a) A. 2.28% b) B. 15.87% c) C. 84.13% d) D. 97.72% 31) What is the probability that she may travel to school for less than 15 minutes? a) A. 2.28% b) B. 15.87% c) C. 50% d) D. 81.55% 32) What score is at the 90th percentile? a) A. 55 b) B. 70 c) C. 85 d) D. 90 33) What is the percentile rank of a score of 82? a) A. 82% b) B. 83% c) C. 84% d) D. 85% 34) Which of the following illustrate random sampling? a) A. Amount of paint used in repainting a building b) B. Extract blood samples from patients c) C. Number of patients in the hospital d) D. None of these 35) A certain population has a mean of 85.5 and a standard deviation of 5.5. If the random samples of size 25 is taken from this population, which of the following statements is true? a) A. The parameter which is the descriptive measures computed from the population is 85.5.   b) B. The parameter which is the descriptive measures computed from the samples is 5.5. c) C. The statistic which is the descriptive measures computed from the population is 85.5. d) D. The statistic which is the descriptive measures computed from the samples is 4.6. 36) Which of the following pertains to the numerical value which describe a population? a) A. Parameter b) B. Sample c) C. Statistic d) D. Random Variable 37) Which of the following statements is true about the sampling distribution of the sample means? a) A. The mean of the sampling distribution of the means is less than the population mean. b) B. The mean of the sampling distribution of the means is greater than the population mean. c) C. The mean of the sample means drawn from a population may be equal, greater than or less than the population mean d) D. The mean of the sample means drawn from the population are always equal to the population mean 38) Arman, a HUMSS student of X SHS in Pasig would like to find out the acceptability and popularity ratings of the prominent leaders in her school. Which sample size will give her a smaller standard error of the mean? a) A. 100 b) B. 200 c) C. 300 d) D. 400 39) In constructing the sampling distribution of the sample means, the first step is to determine the possible samples that can be drawn from the population. From a population of size 12, how many possible samples of size 3 can be drawn? a) A. 36 b) B. 144 c) C. 220 d) D. 1728 40) What is the mean of the sampling distribution ( )? a) A. 30 b) B. 40 c) C. 50 d) D. 60 41) What is the variance of the sampling distribution ( ) ? a) A. 1 b) B. 2 c) C. 3 d) D. 4 42) Find the mean of means for the sample size of 55. a) A. 0.89 b) B. 0.94 c) C. 89 d) D. 144 43) Find the variance of sampling distribution of the sample means with the sample size of 55. a) A. 0.89 b) B. 0.94 c) C. 89 d) D. 144 44) For what kind of population hold How do we compute for the variance of the sampling distribution of the mean? statement “The variance of the sampling distribution of the sample means is ” true? a) A. The variance of the sampling distribution of the mean is the population variance added by the sample size. b) B. The variance of the sampling distribution of the mean is the population variance subtracted by the sample size. c) C. The variance of the sampling distribution of the mean is the population variance multiplied by the sample size. d) D. The variance of the sampling distribution of the mean is the population variance divided by the sample size. 45) For what kind of population hold the statement “The variance of the sampling distribution of the sample means is ” true? a) A. Finite population only b) B. Infinite population only c) C. Both finite and infinite population d) D. Neither finite or infinite population 46) What is the shape of the sampling distribution of the means if the random samples of size n become larger? a) A. Left skewed b) b. Right skewed c) C. Normal d) D. Rectangular 47) Which of the following terms states that, “If random samples of size n are drawn from a population, then as n becomes larger, the sampling distribution of the means approaches the normal distribution, regardless of the shape of the population distribution.”? a) A. Central Limit Theorem b) B. Normal Distribution c) C. Population Mean d) D. Sampling Distribution 48) What is the probability that the mean of this sample is above 55? a) A. 0.0228 b) B. 0.0282 c) C. 0.0822 d) D. 0.2280 49) What is the probability that the mean of this sample is below 55? a) A. 0.7927 b) B. 0.7972 c) C. 0.9727 d) D. 0.9772 50) What is the probability that the mean of this sample is between 53 and 55? a) A. 0.0456 b) B. 0.4544 c) C. 0.5456 d) D. 0.9544 51) Which of the following sample size will use the t-distribution? a) A. 25 b) B. 50 c) C. 75 d) D. 100 52) Which of the following degree of freedom illustrates the highest graphical representation? a) A. df = 8 b) B. df = 12 c) C. df = 18 d) D. df= 22 53) When n < 30 and the population standard deviation is unknown, what is the appropriate distribution? a) A. z b) B. t c) C. r d) D. f 54) The mean scores of a random sample of the SHS students who took a Statistics Test is 80.2. The computed margin of error E of 2.36 is based on the standard deviation and confidence level applied by the researcher. What is its confidence interval? a) A. 78.50 - 80.36 b) B. 77.60 - 81.86 c) C. 77.84 - 82.56 d) D. 77.64 - 82.36 55) What do you call the range of values or interval (with lower and upper limits) used to estimate the population parameter? a) A. Confidence Level b) B. Confidence Interva c) C. Confidence Coefficient d) D. Point Estimate 56) What is the margin of error if n=19, s = 3.5, 99 % confidence ( = 2.878)? a) A. 1.09 b) B. 1.39 c) C. 2.19 d) D. 2.31 57) Which of the confidence interval has a confidence level of 99%? a) A. 2.58 b) B. 2.33 c) C. 2.17 d) D. 1.96 58) What is the formula to be used in finding the minimum sample size n for the population mean? a) A.  b) B. c) C. d) D. 59) Find the minimum sample size (n) for 95% confidence, σ = 90, E = 5. a) A. 1,244 b) B. 1,245 c) C. 1,424 d) D. 1,425 60) Compute for the minimum sample size if the researcher with 99% confidence wants to know the proportion of SHS students who prefer to use laptop in their online classes. A survey showed that 89% like to use laptop. The researcher likes to be accurate within 2% of the true proportion. (BONUS) a) A. 1,620 b) B. 1,629 c) C. 1,630 d) D. 1,690

Q1 STATISTICS AND PROBABILITY REVIEWER

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