Question: Suppose a random sample x1 , ... , xn is generated from the probability distribution given in the above table. Let be the probability P(0.2

Suppose a random sample x1 , ... , xn is generated from the probability distribution given in the above table. Let be the probability P(0.2< X <1.7). We want to estimate . Let Y be the count of xi ' s in the sample whose value is between 0.2 and 1.7. 1. What is the probability distribution of Y? 2. Is Y /n an unbiased estimator of ? 3. Find the mean squared error of Y /n?

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