Problem 2. (10 points) We want to test whether a die is fair. We roll it 300 times and records the outcomes as meaning w

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Problem 2 10 Points We Want To Test Whether A Die Is Fair We Roll It 300 Times And Records The Outcomes As Meaning W 1 (117.99 KiB) Viewed 466 times

Problem 2. (10 points) We want to test whether a die is fair. We roll it 300 times and records the outcomes as meaning we rolled a 1 on the die 54 times, etc. Roll 1 2 3 4 5 6 Count 54 71 42 45 51 37 (1) A fair die has probability 1/6 for each of the six outcomes. Use a chi-squared test to test whether or not the probabilities are all equal. (2) An oblong die will have P(1) = P(6), P(2) = P(5) and P(3) = P(4), but all of the probabilities will not necessarily be the same. Use a chi-squared test to test whether the data is consistent with an oblong die.