(1) The Table below is taken from the Australian Government's Department of Education and Training. It provides data on number of offers made to high school graduates for admission into Australian university programs in various fields of education (discipline). The data is taken from the website https://docs.education.gov.au/documents/undergraduate-applications-and-offersfebruary-2016. Students having the best academic grade in high school would be in the ATAR band 90.05 or more, and the worst in the band 50.00 or less. a Based on the proportion of offers made for different grades, which discipline is the most popular for the best students and what is that proportion? b If an Australian student is selected at random, then from the table above, what is the probability that he or she is studying \"Society and Culture\" and had an ATAR score of 80.00 or less? c Based on the proportion of offers made, which discipline has the highest proportion of students with the lowest ATAR grades, and what is that proportion? d Which discipline has majority of the students from \"No ATAR/Non-Yr 12\" background? Please find out the reasons for that through internet searches? (2) There are four major banks in Australia, which are Commonwealth Bank (CBA), National Australia Bank (NAB), Australia and New Zealand Banking Group (ANZ) and Westpac Bank (WBC). The following table provides the annual dividends per share for each of these banks. From the data answer the questions below for these banks. (Work only with the data provided, do not add any other data.) Annual dividends per share (AUD) Year 2004-05 2005-06 2006-07 2007-08 2008-09 2009-10 2010-11 2011-12 2012-13 2013-14 2014-15 2015-16 CBA 1.97 2.24 2.56 2.66 2.28 2.9 3.2 3.34 3.64 4.01 4.2 4.2 NAB 2.215 2.474 2.646 2.572 1.861 2.048 2.393 2.325 2.443 2.105 2.235 2.417 ANZ WBC 1.886 2.048 1.83 1.478 1.665 1.95 2.098 2.183 2.163 2.624 2.684 1.934 1.943 1.217 1.895 1.99 2.08 2.216 2.433 2.521 2.242 a Compute the mean, median, first quartile, and third quartile of annual dividends for each bank (with only the data provided in the table, do not add or change anything in the table) using the exact position, (n+1)f, where n is the number of observations and f the relevant fraction for the quartile. b Compute the standard deviation, range and coefficient of variation from the data in the table for each bank. c Draw a box and whisker plot for the annual dividends of each bank and put them side by side on one graph with the same scale so that the dividends can be compared. d Australia's financial regulator, Australian Prudential Regulation Authority, or APRA, has increased pressure on the banks on lending in recent times. Please explain what this pressure is about and how it is affecting the banks