Let x be the number of bicycles owned by families in Canada, for which the probability...

Let x be the number of bicycles owned by families in Canada, for which the probability distribution is as follows:

x 0 1 2 3 ________________________

p(x) .1 .3 .55 .05

a. What is the mean and standard deviation of x?

b. Show the sampling distribution of x̄ for random samples of N=2 measurements drawn from the probability distribution of x.

c.Determine whether or not x̄ is an unbiased estimator of μ

d. An ideal point estimator should be consistent. What does this mean?

Expert Solution

d.) An ideal point estimator should be consistent means that the estimator should be unbiased and variance of estimator should tend to 0 for large sample sizes. That means on increasing the sample size, the precision of estimator is maximum.

orchestra answered 2 years ago

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