EXERCISE 3 Consider the data on the third page of the excel file. It contains the number of occurrences of lotto balls, numbered from 1 to 49. People often try to identify biases in random games in order to take advantage of it (this is why the casino will alway win, except that they introduce the bias themselves). Here, what could introduce a bias is the irregularities of the balls either due to its manufacturing or natural wear. (a) Use the data to determine if it seems to be the case here. No need for a in-depth analysis. (b) It seems that there is an important piece of information that was not given: how many balls are drawn at once, and how many times it was done. Would you say that matters? Why? Why not? (c) Let's say it is a lottery where 5 balls are drawn. How would that affect your answer in part (b), if at all? Bonus question for +50% on your exam grade: 2 Following up on question (b). A single worded statistical concept suffice to answer part (b). It is not a word I have used in class but assuming you know it, if you can connect it to the exercise you'll get +50%