A nervous gambler finds that they keep losing money at the craps table, and suspect the house of cheating. They record a large number of rolls (over which they continue to lose money...) and find the following data. 2 3 4 5 6 7 8 9 10 11 12 NumberofRolls 15 30 36 50 57 59 55 48 36 20 17 Note that in craps, each roll is a roll of two dice, summed together, taking values from 2 to 12. This data can be found in the variable gambler. a) To find evidence that the dice are unfair, what will be the assumed distribution of each possible value? Your answer should be a list of length 11, with the first value representing P(X = 2), the second P(X = 3), etc. Save your answer in the variable q2.a (To check your answer: The variable q2.a should sum to 1.) b) Calculate the expected counts for the number of rolls of each die. Your answer should be in the form of a list of length 11. Save your answer in the variable q2.b c) Calculate the 2 test statistic for testing the hypothesis that the dice are unfair. Save your