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BBM203/03 Answer ANY FOUR (4) questions 1. Maxis would like to improve their call center service quality and the management has set a goal to the call center's employees to solve customer issues less than 15 minutes. The following sample data contain the time, in minutes, to answer 30 incoming calls to a Maxis helpdesk services call center: 16 12 12 14 28 15 10 14 26 15 13 5 24 19 21 25 15 9 20 8 23 10 13 16 17 11 13 24 12 (a) Construct a frequency table with 5 classes. [7 marks] (b) Compute the sample mean for the data. [6 marks] (c) Calculate the sample variance for the data. [8 marks] (d) Find the sample standard deviation. [3 marks] 2. (a) The following table presents the results of the sample of 1,000 households surveyed in terms of their purchase behaviour for large TVs. Assumed that the first survey was done asking whether the respondents would plan to buy large TVs in the previous month. After one month, the researchers went back to the same respondents and check whether the respondents actually purchased the large TVs. Therefore, the planned behaviour and actual behaviour are dependent on each other. Planned to Actually Purchased Total Purchase Yes No Yes 200 50 250 No 100 350 750 Total 300 700 1000 Based on the table above. draw a tree diagram showing all possible outcomes. [(b) Out of 200 numbers of flights departing from Kuala Lumpur International Airport 2 (KLIA 2), 4 departures are delayed. If the delayed departure appears to be Binomial distributed, find the probability for the following cases. (0) Compute the probability that there are THREE delayed departures out of 200 flights. [5 marks] (ii) Compute the probability that there are LESS THAN TWO delayed departures out of 200 flights. [6 marks]