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6:30 Back ITE3706_MathsllA_Assi... → Section A Multiple Choice Questions Answer ALL questions in this section. Each question carries 4 marks A. Experiment B. Observation C. Interview D. Statistical publication 1. A company wants to know the production efficiency of its newly-invented machinery. Which of the following is the most appropriate way to collect the dat? 2. Which of the following is an advantage of secondary data? A. Limitations of documents B. Ready to C. Possible for violating copyright D. Relatively expensive D. 4096 3. There are multiple choice questions in a text paper. Each question provides 4wers for students to choose from. How many different possible outcomes can be made? A. 24 ITEMBA 29111 RA 3. The material usage of a factory for the past 3 years are recorded as below Material usage 4. The percentage increase in the Retail Price Index (RPT) to year 2015 to year 2021 88% Taking year 2015 as the base period, the RPI of year 201 A. 10 B. 108.8 C. IIKK D. 128.8 LTE 2019 2020 2021 B113.71 C 121.64 D. 135.21 (20 marks) 2643 2990 3215 The index of 2021 by choosing 2009 as the base period: A. 76.07
6:30 Back ITE3706_MathsllA_Assi... C. 118.8 D. 1288 5. The material usage of a factory for the past 3 years are recorded as below: Material ge 811371 C 121.64 D. 135.21 2019 2000 3021 The indes number of 2021 by choosing 2019 as the base pe A 76.07 Stream Nomber of 55 students to be selected Total number of 55 students Section B Short Questions Answer ALL questions in this section. Each question carries 5 marks. 6. A servey is conducted to study the leisure activities of the 55 students in a school St ITF Mabes A-22122 akp 2643 2900 are classified according to the sea they studied. The following table shows the ent figures of the survey. Class 01 02 03 04 Mark Arts 9 (a) Which data collection method should be used to collect the data What is the populations of the survey? (c) Which sampling method is applied in the survey? Class 16 17 IN 19 Marks 55 607 95 (A) Which sampling method is used? Business 13 Q What is the disadvantage of using the method in o (c) What is the sample LTE 22 23 24 25 Of mark 7. The test results of 30 students are recorded as below Suppose the students sets the starting point and every student is selected to form a sample element 12 13 14 15 Sciener 15 (make) (1 mark) (1 mark)
6:31 7 Back ITE3706_MathsIIA_Assi... Q II. The stock prices of Company A at the end of yours 2016 to 2021 a presented in the following line graph A M (4) Bying year 2016 in the hise period, calculate the simple price indexes 2006 to 2021 Jun Year 2016 2017 2018 2019 July 2020 2021 Stock W By what pe did the prices of stock decrease between years 2018 2017 Cek 12. A product is made up of ingrediens X, Y and Z. Their mly costs are in the Sallowing table Calculate the simple composite index of ingredients by choosing Je as the base period mak Morth Ingredient X Ingredient Y Ingredient Z May $2.500 $1.500 Sample Price Index $2,300 $2,000 LTE $1,700 Simple Com Section C Long Questions Answer ALL questions in this section. Each question carries 15 marks 13. (a) Alvan, Bill and Cyrus will sit for a driving test. The probabilities of passing the sta 2 0.8.0.5 and 0.3 for Alvan, Bill and Cynn pectively Come your decimal places 00 Find the probability that all of them pass the test Find the probability that all of them all the test (i) Find the probability that at least one of them passes the test () Find the probability that exactly one of them as the d b) A bag contains six 51 com, cight 52 coins and eleven 55 com and for $10 in is not the han cand what is the rected of the
6:31 Back ITE3706_MathsllA_Assi... Q 14. Visitors of a theme park comprise local people (L) and overseas tourists (D). Records of the first 30 visitors coming to the park on a given day are provided. Sequence Sun of visitors Soutor 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 LOLLLOLLOL 16 17 18 19 20 21 22 23 24 25 O OLLOLLLLO Status of visiton The CEO of the park wants to know the extent of satisfaction of visitors toward the park's facilities by using the following two method 6 visitors are chosen randomly visitors are closest randomly and proportionally from the two groups Mehed Method II (a) If Method is used, identify the sampling method (i) write down the sequence numbers of visives being chosen by using the random manber table with the starting point row 14. 01 Medis used how many local visitors and overseas visitors should be chospectively (mak (4) write down the sequence numbers of the visitors being chosen by using randomber table with the starting point 13. Random Number Table Cola 123 67 89 10 11 12 13 14 15 16 17 18 19 20 How 160 10349182413 211632007902632221231 35607191241 934256012. 40349110478 241301465 ITEMA-22122 S RS A 15. The following table shows the prices and quantities of the products sold by a shop in 2009 and 2021. 2020 LTE Prodact Candy Pechip Bread (a) Using 2020 as the base year, calculate the Lapeyes Price Indes of 2001 (b) Using 2020 as these year, calculate the Pache Price Indes of 2021. Price (5) 23 15 710 8.50 2001 Price 31 16 Quity 740 920 570 (5 mark
6:31 1 Back ITE3706_MathsIIA_Assi... Q 4 of 8 8. A servey has been conducted to analyze the gender of 260 readers of newspapers A and B Newspaper A Newspaper B 57 93 43 67 (a) If a reader is choses at random, find the probability that the reader is fem (2) b) If two readers are chosen a candom, find the probability that they mal theme Female Male LTE 9. A recent finding shows that the probability of giving birth to a girl is 0.57. Com your 4 decimal place (a) A couple plan to have 2 child. Find the probability that both of the 2 childre boys? th) Another couple plan to have 3 children. Find the probability that at at one of the gril? 16 A box contai20 balls of different colours: 12 white, 5 yellow and 3d If two balls are randomly selected from the bus without replacemes, whet in the probability of getting yellow ball? mark (b) If two halls are randomly selected from the box with replacement, what is the probability of getting two halls of the same color? marks)