6. You must decide which of two discrete distributions a random variable X has. We will...

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6. You must decide which of two discrete distributions a random variable X has. We will call the distributions po and pa. Here are the probabilities assigned to the values x of X. x 0 1 2 3 4 5 6 0.0 0.1 0.1 0.1 0.4 Pa 0.2 0.4 0.2 0.1 0.1 0.2 0.1 0.0 0.0 You have a single observation on X and wish to choose between Ho po is correct Ha Pa is correct One possible decision procedure is to reject Ho only if X 2. a. Find the probability of a type I error - that is, the probability that you choose Ha (reject Ho) when po (3) is the correct distribution. b. Find the probability of a type II error. (3) 6. You must decide which of two discrete distributions a random variable X has. We will call the distributions po and pa. Here are the probabilities assigned to the values x of X. x 0 1 2 3 4 5 6 0.0 0.1 0.1 0.1 0.4 Pa 0.2 0.4 0.2 0.1 0.1 0.2 0.1 0.0 0.0 You have a single observation on X and wish to choose between Ho po is correct Ha Pa is correct One possible decision procedure is to reject Ho only if X 2. a. Find the probability of a type I error - that is, the probability that you choose Ha (reject Ho) when po (3) is the correct distribution. b. Find the probability of a type II error. (3)