Question

QUESTION 1 (39 MARKS) Suppose you choose 2 books that you are planning to read (the books selected must contain both Malay and English). Thus, there will be a total of 2n number of books, where n is the number of team members. Assume that this 2n is the size of population that is approximately normally distributed with mean and standard deviation ơ a) List the number of pages for each of the 2n books as in Table 1. Let X be the number of pages for the selected books. Send the completed table in Excel file to your lecturer Table 1: Team Data Book ID Book Title Frozen 32 Budak mekanikal 40 73 You to me Demi masa 80 43 Positive making guide Hürah 60 (4 marks) b) Using the factx compute the expected value EX) and standard deviation (a) of the number of pages for the population of 2n books (7 marks) ei eher o c) Using your calculator in SD mode, input the X values and compute the and ơ (You may refer to this video: htts://bit ly/2VPPctk). Compare your answers with part (b) and comment. (4 marks) d) Compute the sampling distribution of X for a sample of size n 2. Note that there 2) ways to choose 2 books from a total of 2n books. Include the following two tables in your poster that summarize your results and send the completed tables in Excel file to your lecturer Table 3: Sampling Distribution of X Table 2: Sample Mean Sample | Book IDs | x, x, P(x) rt Suppose each member selects another book of either language and add to the data in Question 1, create two variables of Xand Y such that: if no, of pagesSX-20% of the population mean if no. of pages within 20% ofthe population mean 3 l X-2 ifno, of pages2i+20% of the population mean y if book is in Malay Y2 if book is in English a) Display your data in: i. a frequency distribution of X and Y. i. a joint probability distribution table of X and Y (8 marks) b) Find the conditional probability of P(X = 2Y = 1). Comparing your answer with P(X 2), what can you conclude? (6 marks) c) Can you conclude that the number of pages is related to the language used in the books? (12 marks)

Answer 1

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