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3. Let A be a discrete random variable with the probability distribution of the null hypothesis and the alternative hypothesis as followed. K 2 3

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3. Let A be a discrete random variable with the probability distribution of the null hypothesis and the alternative hypothesis as followed. K 2 3 4 5 6 7 8 O 10 P(X=k | Ho is true) 0.02 0.18 0.07 0.03 0.17 0.24 0.02 0.08 0.01 0.18 P(X=k | H, is true) 0.10 0.13 0.04 0.27 0.01 0.05 0.14 0.03 0.11 0.12 We will reject the null hypothesis if k=1, 7 or 9. Otherwise, we will accept the null hypothesis. Find the probability of type I error and type ll error

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