Please select the formula that related to this question to solve it. Thanks.
(CLO2:PLO4:C3)(CLO2:PLO7:C3) FORMULA SHEET Sturges Rule: No. of classes : c=1+3.3logn range Class width : Arithmetic mean : n n [X( ) if n is odd (+x() if niseven * =L + 2 -F Median : Mode : Standard deviation : n - 1 n-1 IQR : 2 -2, Cat " + 1 -th term 4 Q, at 3(1 + 1 th term 3(mean - median) mean - mode Coefficient of skewness : standard deviation Or standard deviation standard deviation Coefficient of variation : -x 100% mean Probability : P(AUB) = P(A) + P(B) mutually exclusive events P(AUB) = P(A) + P(B) - P(AnB) not mutually exclusive events P(An B) = P(A)P(B) independents events P(A/ B) = P(AnB) P(B) conditional probability Page 1 of 710:04 infraplus.iukl.edu.my CONFIDENT INSTRUCTIONS: IAL TIME : 1 12 HOURS Answer ALL Questions in the Question Paper. Question 1 (6 Marks) State out the variable for each of the following sentences and classify its type as qualitative nominal/ordinal or quantitative discrete/continuous. (a) Grade on business mathematics for a group of BBA students. (2 marks) Variable: Type of variable: ( Mode of transportation for working ones who stay in De Centrum Condo. (2 marks) Variable: Type of variable: () Time required for a product to be shipped from one city to another. (2 marks) Variable: Type of variable: (CLOI:PLOI:CI)(CLO1:PLO2:CI) Question 2 (6 Marks) The speed of 19 cars was measured by a radar device on a city street. 37 23 22 38 43 54 35 26 48 28 25 42 52 31 30 41 45 29 37 (a) Construct a stem-and-leaf display for this dataset. (3 marks) (b) Use the scientific calculator to find the mean and standard deviation for this data. Thus, calculate the percentage of variation for in this dataset. (3 marks) (CLO1:PLOI:C2)(CLO1:PLO2:C2) Question 3 (6 marks) () Why the coefficient of variation is important in data analysis?10:04 infraplus.iukl.edu.my (CLO1:PLOI:C2)(CLO1:PLO2:C2) Question 3 (6 marks) () Why the coefficient of variation is important in data analysis? (2 marks) ( The table below gives the mean and standard deviation of the life spam in hours from the sample of bulbs for brand A and B. Brand Mean Standard Deviation A 32,000 2,500 B 33,250 2,750 Which brand has a more consistent life spam? Justify your answer. (4 marks) (CLO1:PLO1:C4)(CLO1:PLO2:C4) Question 4 (10 Marks) An insurance company researcher conducted a survey on the number of car thefts in a large city for a period of 30 days last month. The raw data are shown below. 52 62 50 63 65 53 78 62 55 58 72 66 53 57 $7 63 69 71 56 55 62 73 79 59 68 65 72 (a) Organize these data into the grouped frequency. Use 50 as the starting point and 5 as the class width. (3 marks) No. of Car Thefts Tallies Number Frequency 50 (b) Construct an ogive of the grouped frequency distribution established in (a) and approximate the number of days where the number of car thefts is less than 62 cases or more than 70 cases. (7 marks)\f10:05 .ul $ on infraplusJukLedumy (CLOl :PL01:C3}(CL01:PL02:C3) Question 5 (ll! marks) The table below shows the weight of 100 honeydews harvested From Happy Farm. (a) Fill in the table below and determine the value of mean and standard deviation for the weight of these (a) What can you say about the variation in this sample data? (2 marks) (CLOl :PL012C4HCL012PL02:C4) Question 6 (6 Marks] A firm has tendered for two independent contracts. lt estimates that it has probability 0.4 of obtaining contract A and probability lll of obtaining contract E. Find the probability that the rm obtains: (a) either one contract; (2 marks) {13} neither of the contacts. (2 marks) (c) contract El given that the rm has obtained contract A. {2 marks} 10:05 infraplus.iukl.edu.my Question 7 (6 Marks) In company MESTIJAYA, 80% of the project are handled by Kasim while the rest by Berry. The probability that a project handled by Kasim is completed on time is 75%. The probability that a project handled by Berry not completed on time is 20%. () What is the probability that a particular project completed on time? (2 marks) (b) If a project is not completed on time, what is the probability it is handled by Berry? (2 marks) (c) If a project fails to complete on time, what is the probability it is handled by Kasim? (2 marks) (CLO2:PLO4:C3)(CLO2:PLO7:C3) FORMULA SHEET Sturges Rule: No. of classes : = 1+3 3logn range Class width i2- C Arithmetic mean : if nis odd Median : "-tex()] niseven Mode : Lu+ ( A, + A, ) Standard deviation : n-1 IQR : 2 -0 Q, at " + 1 4 Q, at (1 + 1the term 3(mean - median) mean - mode Coefficient of skewness : standard deviation of standard deviation standard deviation x 100% Coefficient of variation : mean Probability : PUUB) - P()+ P(B) mutually exclusive events P(AUB) - P(A)+ P(B)-Pun#) not mutually exclusive events P(AnA) - P(A)PCB) independents events P(B) conditional probability + 8
