Problem 3 [6 marks] Assuming you have loaded the data and assigned it to an object called DCE2, the following com- mand produces a new data set containing 290 within-student average measurements: > DCE2. agg 0), i.e. the probability that a randomly selected person performed better with their right hand than their left. (c) [2 marks] Let Y be the number of people performing better with their right hand, out of a sample of 5 students. Using the estimate in (b) give the distribution of Y, and specify E(Y) and Var(Y)