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Problem 4 Random variables X and Y can take values from the set {0, 1, 2). Samples of size 10 give the results recorded in the table. 0 1 2 2060 20 21 44 35 Now suppose that the table was produced by the following experiment. There are two identical (biased) coins with probability of head equal p, and X is the number of heads if both coins are tossed. Also there are two other identical (biased) coins with probability of head equal p, and Y is the number of heads if both coins are tossed. Given the table at 5% significance level test null hypothesis of P = pagainst the alternative pop

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