|{0! . . 3 61 Name: __________ " ' ' Section: 7 - STATISTICS AND PROBABLITY 11 ' ' ,,::.i g 3- r 1' i ' ' ASSESSMENT I (Ewan-(1.2.\"d Week)... ' . t, , .. I. WRITTEN WORK __ A. Multiple Choice. Write the letter of your answer on the space provrded after each question 1' 1. If three coins are tossed, which is NOT a possible value of the random variable for the number of tails? a1 "-"7' b.2 c.3 d.45i'- U 2. Which of the following 15 a discrete random variable? a. Length of electrical wires b. Number of pencils in a box c. Amount of sugar used in a cup of coffee d Voltage of car batteries 3. Which formula gives the probability distribution shown by the table? ' X 3 4 5 Poo % vs a P(X) = X b. P(X) = l/X c. P(X) = X/3 A hm = VI: u. l'A} NJ 4. How many ways can a "double" come out when you roll two dice? a. 2 b. 4 c. 6 d. 8 5. It is a numerical quantity that is assigned to the outcome of an experiment. a. random variable b. variable c. probability d. probability distribution 6. It is the central or average of its corresponding probability mass mction. a. mean b. standard deviation c. variance (1. probability 7. What is the mean outcome if a pair of die is rolled} once? a. 1 5 b 2 5 c. 3.5 d. 4.5 8. Find the mean of the probability distribution involving the random variable X that gives the number of heads that appear after tossing four coins once. a 4 b. 3 c. 2 d. l 9. The probabilities that a printer produces 0,1,2, and 3 misprints are 42%, 28%, 18%, and 12% respectively. What is the mean value of the random variable? a. 1 b. 2 c. 3 d. 4 10. The random variable X, representing the number of nuts in a chocolate bar has the following probability diefl-iknt-inn_w1i_at is the mean? 7 uu'v \"Hy a1.5 ' . . . . . d.l.9 B. Classify the following random variables as discrete or continuous. l. The weight of the professional boxers ' 2. The number of defective COVID-19 Rapid Antibody Test Kit 3. The area of lots in an exclusive subdivision I A Th u... M -13.. .4\"-.- .Cf'' nn a\" -......:_..._.. I-r. C nquCi Ui iCCOV'CiCd patients Cu bu v LIJ' 9y i piuv w o'S Name: noitoga Section: II. PERFORMANCE TASK HI YTLIHAHOSI ONA ZOITEITATE Directions: Complete the given table then find a. Mean, b. Variance and c. Standard Deviation of the given discrete random variable: Show your complete solutions. 1. X is the number of orders placed on an online store in a day for the past 12 days. " at 91/W .good olgitluM.A X P(X) X . P(X) X2 X2 .P(X) lol and to doid .S 1/12 20 w Inomosle to digne J s xod s italianan to redmuk 2 5/12 sofloo to quo s ni beau isgue to fromA . 3 3/12 ashetied to to sgstov Soldsi adi vd awoke nofludinaib vlilidsdong erdt zovig slumnot doidW 1/12 2 E X EW 2/12 X= (X)9 . Xi (X)9_d EX = (X)9 5 ax (XT b Seolb owt lor nov nadw to omoo "elduob" s' HBO 2YEW VIRm WOH 8.b Ad S .B morningqxe us to smootuo end of bengizes ai isdi vilasup Isonomun s ai f . 2 oldshiv mobest .s oldsisv .d Wiilidsdorq .. nonudinaib vilidsdorq b noidomit eesm vlilidsdong guibnogeeToo ali to 9gsTovE 10 InTimeo off aill .0 nilidsdong .b sonshisv .. noitsiveb bisbasie .d nsom .s Ssono belloi zi sib to risq s li smootuo neem off at isdW .[ 2.P. b 2.8.5 2.S.d 2. 1 .s isd absol to redmun ord zovig isrdi X oldshev mobusT off grivlovni noiludinaib vilidsdonq ed to asom ard briT .8 .sono enioo mol gnizzof 19fts iseggs I b Ed at tailW .vlovitosqasr ofSI bus .0981 .8S .SP gis atningzim & bus .S. I.0 zoonborg isining s isdi esitilidsdonq oTe Soldshisv mobrist ed to oulev mom and S.d Is vilidsdong gniwollot add ed ind otslooodo s ni elun to redmun sift gnimoesiqst X oldshev mobusi sT .Of Sasem ond al tedW . noitudheib S 0 Y of of of el .b E.I .d 2. 1 .B aNounitnoo 10 919102in as aoldshiny mobs gniwollot gill visas .a 219xod Isnolesstorq erdt to digiew onT . I till resT ybodinA bigssI el-CHIVOO evilosteb to nedmun pilT .S nolaivibdue evianloxe ns ni alol to seis silT .& sonivorq log el-CHIVO to ainsling beisvooon to isdmun sulT'3\" Q STATISTICS AND PROBABLITY 11 ASSESSNIENT II (3\" and 4th Week) Name: I. WRITTEN WORK , A. TRUE] FALSE. Determine Whether the statement is True or False. If False, modify the statement to make it True. 1. The area under a probability distribution correspond to the probabilities of a random variable X. 2. Data in a continuous type are presented through a normal curve or normal probability distribution. ' ' 3. It is the variance of a normal distribution that locates the center of the distribution. The normal curves vary in their center and spread which is dependent to the values of the variance and standard deviation. _ A standard normal curve is a normal probability distribution that has a mean equal to 0 and a standard deviation equal to 1. The curve is symmetrical about its center. The mean, the median, and the mode coincide at the center. The total area under the normal curve is equal 1 or 100%. If the z-score is equal to 2.51, then the area of the region is 0.0060 10. The area between the z-scores -2.0 and 1.56 is 0.9178 1 1. If the area is 0.9332, then the z-score is 0.00 12. Every normal distribution can be transformed to standard normal distribution. 13. The scores on scholarship aptitude exam are normally distributed with a mean of 72 and a standard deviation of 8. If the score is 60, then the z score is 1.5 14. The area between x=45 and x=62 of a given normal distribution with mean \"=50 and a=10 is 0.9764. ' 15. The z-score of 33rd percentile is 0.44. S\" 9.3).\"? II. PERFORMANCE TASK , Direction: Complete the table below then nd the mean, variance and standard deviation. Interpret the results. 1. A certain university medical research center nds out that treatment of skin cancer by the use of chemotherapy has a success rate of 70%. Suppose ve patients are treated with chemotherapy. The probability distribution of x successful cures of the ve patients is given in the table below: Interpretation: Name: 5 0 Section: STATISTICS AND PROBABLITY 11 ASSESSMENT III (5* and 6\"1 Week) I. WRITTEN WORK MULTIPLE-CHOICE. Write the letter of your answer before the item/ number. A. Select the best choice. 1. It is the process of using sample Statistics to draw conclusions about true population parameters. A. statistical inference C. sampling B. the scientic method D. descriptive statistics 2. It is the universe or "totality of items or things" under consideration. A. sample B. population C. parameter D. Statistic 3. It is the portion of the universe that has been selected for analysis. A .sample B. frame C. parameter D. statistic 4. It is a summary measure that is computed to describe a characteristic from only a sample of the population. A. parameter E. census C. statistic D. scientic method 5. Which of the following is most likely a parameter as opposed to a statistic? A. The average score of the rst ve learners completing an assignment B. The proportion of females registered to vote in a county C. The average height of people randomly selected from a database D. The proportion of trucks stopped yesterday that were cited for bad brakes 3. Identify which sampling method is applied in the following situations. 6. The teacher randomly selects 20 boys and 15 girls from a batch of learners to be members of a group that will go to a eld trip. (Probability Sampling) 7. A sample of 10 mice are selected at random from a set of 40 mice to test the effect of a certain medicine. (Probability Sampling) 8. The people in a certain seminar are all members of two of ve groups are asked What they think about the president. (Probability Sampling) 9. A salesclerk for a brand of clothing asks people who comes up to her whether they own a piece of article from her brand. (Non-probability Sampling) 10. A brand manager of a toothpaste asks ten dentists that have clinic closest to his ofce whether they use a particular brand of toothpaste. (Nonprobability Sampling) II. PERFORMANCE TASK. Direction: Find what is ask, write your answers at the back. Random samples of Size 4 are drawn With replacement from a nite population 3,6,9 , (.1, LC . a.) How many possible samples of size 4 are possible? b.) Find the mean of the sample means. c.) Find the variance of the sample. (1.) Find the standard deviation of the sample. Name: @1 Section: __ GENERAL MATHEMATICS 11 ASSESSMENT II (WEEK 3 AND 4) I. WRITTEN WORK A. MULTIPLE CHOICES. Encircle the letter of the correct answer. 1. For the function to be dened as rational, the denominator should be. A. Not equal to 0 B. Equal to 0 C. Undened D. Equal to 1 2. Which of the following is a rational function? x+4 __ __ 3x-6 _ V32: 5 _ - A'T_5 B. f(X)'Sx+2 C, f(x) 2x_1 D. f(x)x+6 For 3-5 refer to the problem given. A company has a budget of P100, 000 to be divided equally among its various ofces. The administration ofce of the company receives twice the amount of money than the other offices. 3. Given x as the number of ofces in the company, which of the following shows the function (x) which would give the amount of money each of the non administration oices would receive? A. f(x) : 100,000 B. f(x) = 100,000 C. f (x) = 100.000 D. None I 1+1 1+2 4. If the company had seven ofces, which of the amount would the administration ofce receive? A. P12, 500 B. P15, 000 C. P25, 000 D. P30, 000 5. Which of the following amount would the non-administration ofces receive? A. P12, 500 B. P15, 000 C. P25, 000 D. P30, 000 6. 6. Which of the following terms dene as an equation involving rational expression? A. Rational expression B. Rational function C. Rational equation D. Rational inequality 3x-10 > 1 7. The expression \"7+4 9 is an example of. A. Rational expression B. Rational function C. Rational equation D. Rational inequality 8. Which of the following is NOT a rational function? x+4 3x-6 12+5 34x2 ' 3_ = 5 13' f(x) = 4+Sx C' f(x) = 2x1 D' f(x) = 2+5x 9. Which of the following terms dene as the quotient of two polynomials? A. Rational expression B. Rational function C. Rational equation D. Rational inequality 7 _ 10x+3 = 3_x 10. The expression x+6 8 is an example of. A. Rational expression B. Rational function C. Rational equation D. Rational inequality II. PERFORMANCE TASK 3-2-1 Action What are the distinct features of rational function, rational equation and rational inequality? 1. Rational Function 2. Rational Equation 3. Rational Inequality What are the differences of the following? 1. Rational Function and Rational Equation 2. Rational Equation and Rational Inequalities Share one tip or suggestion on how to identify whether the given is a rational function, rational equation or rational inequality 1