Choose the appropriate distribution. You must decide which

Chapter , Problem 6.120

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Choose the appropriate distribution. You must decide which of two discrete distributions a random variable X has. We will call the distributions p0 and p1. Here are the probabilities they assign to the values x of X: x 0 1 2 3 4 5 6 p0 0.1 0.1 0.2 0.1 0.1 0.1 0.3 p1 0.2 0.2 0.2 0.1 0.1 0.1 0.1 You have a single observation on X and wish to test H0: p0 is correct Ha: p1 is correct One possible decision procedure is to reject H0 only if X 2. (a) Find the probability of a Type I error, that is, the probability that you reject H0 when p0 is the correct distribution. (b) Find the probability of a Type II error.

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