Suppose X1, X2, ..., Xn are i.i.d. Bernoulli random variables with probability of success p. It is kno ΣΧ p = is an unbiased estimator for р. Find E(p²) and show that p² is a biased estimator for p². (Hint: make use of the distribution ofE and the fact that Var(Y) = E(Y²) – E(Y)²) Show that p EXi+2 is a biased estimator for p. n+4

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A: It is an important part of statistics . It is widely used .

Q: (d) Draw a graph of the probability distribution and comment on its shape

A: here given  n =  6 p = 0.75

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A: P(1.7&lt;x&lt;2.3)=16.24%Explanation:Given: X has a gamma distribution withα=2β=1 Probability…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.