# consider the following probability distribution:

**Question description**

consider the following probability distribution:

x 0 1 2

p(x) 1/3 1/3 1/3

1. Find M

2. for a random sample of n=3 observations from this distribution find the sampling distribution of the sample mean

3. find the sampling distribution of the median of a sample of n=3 observations from this population.

4. refer to b and c, and show that both the mean and the median are unbiased estimators of (M) for this population

5. find the variances of the sampling distributions of the sample mean and the sample median.6. which estimator would you use to estimate M, Why?

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