(a) The monthly sales commission earned by the 66 sales representatives in a company are listed...
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(a) The monthly sales commission earned by the 66 sales representatives in a company are listed as follows: Monthly Sales Commission (RM) 1000-1999 2000-2999 3000-3999 4000-4999 5000-5999 Product Product 1 Product 2 Product 3 Product 4 (i) Calculate the mean, median and mode of the monthly sales commission. (8 marks) (ii) Based on the answer in part (i), comment about the skewness of the above data (2 marks) set. (b) The prices and quantities of four type of products that sell by a manufacturer are recorded in the table below. Price (RM) 5,20 4.35 3.50 6.45 Number of representatives 9 11 2020 27 14 5 Quantity 50 70 45 90 Price (RM) 5.85 4.70 3.90 7.05 2021 Quantity 60 65 80 115 (i) Calculate the Laspeyres quantity index for the year of 2021 by using 2020 as the base year. (2 marks) (ii) Calculate and interpret the Paasche price index for the year of 2021 by using 2020 as the base year. (2 marks) (c) An owner of a restaurant has employed four riders to assist him in the food delivering services. Rider A will handle 18% of the total orders while Rider B will handle 20% of the total orders. The rest of the orders will be shared equally among Rider C and Rider D. Based on the past records, the probability of receiving late delivery complaints for Rider A, B, C and D are 0.02, 0.08,0.09 and 0.03 respectively. Supposed that a randomly selected order is delivered on-time, what is the probability that this order is delivered by Rider C? (4 marks) (d) It is found that 3% of the light bulbs produced by the factory is faulty. If 14 light bulbs are selected at random from the production floor, what is the probability of getting at least 2 faulty light bulbs? (3 marks) (c) A survey revealed that the monthly household income of the residents in a new housing area is normally distributed with the mean of RM6758 and standard deviation of RM412. What is the minimum monthly household income if only top 4.2% of the residents in the new housing area has achieved this amount? (4 marks) (Total: 25 Marks) (a) The monthly sales commission earned by the 66 sales representatives in a company are listed as follows: Monthly Sales Commission (RM) 1000-1999 2000-2999 3000-3999 4000-4999 5000-5999 Product Product 1 Product 2 Product 3 Product 4 (i) Calculate the mean, median and mode of the monthly sales commission. (8 marks) (ii) Based on the answer in part (i), comment about the skewness of the above data (2 marks) set. (b) The prices and quantities of four type of products that sell by a manufacturer are recorded in the table below. Price (RM) 5,20 4.35 3.50 6.45 Number of representatives 9 11 2020 27 14 5 Quantity 50 70 45 90 Price (RM) 5.85 4.70 3.90 7.05 2021 Quantity 60 65 80 115 (i) Calculate the Laspeyres quantity index for the year of 2021 by using 2020 as the base year. (2 marks) (ii) Calculate and interpret the Paasche price index for the year of 2021 by using 2020 as the base year. (2 marks) (c) An owner of a restaurant has employed four riders to assist him in the food delivering services. Rider A will handle 18% of the total orders while Rider B will handle 20% of the total orders. The rest of the orders will be shared equally among Rider C and Rider D. Based on the past records, the probability of receiving late delivery complaints for Rider A, B, C and D are 0.02, 0.08,0.09 and 0.03 respectively. Supposed that a randomly selected order is delivered on-time, what is the probability that this order is delivered by Rider C? (4 marks) (d) It is found that 3% of the light bulbs produced by the factory is faulty. If 14 light bulbs are selected at random from the production floor, what is the probability of getting at least 2 faulty light bulbs? (3 marks) (c) A survey revealed that the monthly household income of the residents in a new housing area is normally distributed with the mean of RM6758 and standard deviation of RM412. What is the minimum monthly household income if only top 4.2% of the residents in the new housing area has achieved this amount? (4 marks) (Total: 25 Marks)
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Question A Ques i Calculate the mean median and mode of the monthly sales commission Ans To calculate the mean median and mode of the monthly sales commission well first need to perform some calculati... View the full answer
Related Book For
Finite Mathematics and Its Applications
ISBN: 978-0134768632
12th edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
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