Suppose a sample Y1, ..., Yn is selected from an exponential distribution with E (Yi) = θ and V (Yi) = θ2. Let θˆ be an estimator of the mean, θ. 1. Explain what a parameter is. What is the parameter of interest in this case? 2. Name the properties of a good estimator and explain, shortly, what is meant by each. (a) (b) (c) 3. Given the properties you discussed in (2) and the parameter of interest identified in (1), what estimator would you propose? 4. What would the sampling distribution of this estimator be? Why?

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A: Formula is given below.

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A: Given Information: To find out Pz&lt;2.25

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A: Given If E(v) is close to parameter v, the estimator is consistent.

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A: 5. The given pdf is, fx=12x+1       -1&lt;x&lt;10                   elsewhere

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A: By bartleby policy i can gives only 3 subparts answers:

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.