STA1DCT Assignment 1 Due Thursday the 16th of March 2017 at 3pm. You must submit your assignment electronically and as a single file via the LMS page for this subject. Where appropriate, your solutions must include your workings. In submitting your work, you are consenting that it may be copied and transmitted by the University for the detection of plagiarism. Please start with the following statement of originality, which must be included near the top of your submitted assignment: "This is my own work. I have not copied any of it from anyone else." IMPORTANT NOTE: The total possible marks for this assignment is 50. There are 40 marks associated with accuracy (i.e. correctness of your answers; the breakdown of these marks is indicated on this question sheet), a further five marks for completeness (you will only get the full five marks for completeness if you make a serious attempt to answer every question) and a further five marks for your written communication (e.g. clarity, spelling, grammar, correct use of notations etc.) STA1DCT: 40 + 5 + 5 = 50 marks. 1. The last Australian Household Census was held on the 9th of August, 2016. Below are snapshots of questions taken from the Census Form. The number to the left of the question is the question number as it appeared in the form. 18 What is the person's ancestry? 34 Last week, did the person have a job of any kind? 55 How many bedrooms are there in this dwelling? For a randomly selected individual, let X denote the response to Question 18, Y denote the response to Question 34 and Z denote the response to Question 55. Consider the below statements, each identified by a letter (i.e. 'A', 'B' etc.) To successfully answer this question, provide the letter(s) identifying ALL correct statements. You will get zero marks for this question if you (i) do not identify all of the correct statements or (ii) include a statement that is incorrect. A. X is a quantitative variable. B. X is a categorical variable. C. X and Y are both categorical variables. D. Z is a quantitative variable and Y is a categorical variable. E. X, Y and Z are all categorical variables. F. Y and Z are both numerical variables. G. None of the above statements are correct. (2 marks) 2. Very big numbers can be difficult to write down. However, using scientific notation (or exponential notation) can make this much easier. Let us consider a simple example. Note that 102 = 10×10 = 100 and 7×100 = 700. Therefore we can write 700 = 7 x 100 = 7 x 102. Writing 700 as 7 x 102 is known as writing 700 using scientific notation. Similarly, we can write 3, 000 = 3 x 103 and 3, 500 = 3.5 x 103. Now, complete the following question. (a) A single drop of water contains around 1, 700, 000, 000, 000, 000, 000,000 water molecules. Write down this number using scientific