Q3. Suppose that X¡, i = 1,2, ...,n have an Exponential distribution with parameter a. a) Find maximum likelihood estimator (Â) for 2. b) Is â is an unbiased estimator?

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A: Probability=0.268

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Q: Q3: let x be random variable with Beta distribution, find the V(x)?

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A: It is very useful in statistics.  It is related to probability.

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Q: Suppose that X¡,i = 1,2, ... ,n have an Exponential distribution with parameter 2. a) Find maximum…

A: We have given that X~Exp(lambda)

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A:

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Q: 3. Suppose that X has a Poisson distribution with h = 80. Find the probability P(X< 70) based on the…

A: Here when we use normal approximation we add 0.5 as continuity correction factor in X

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Q: Show that the expectation of the exponential distribution with param- eter A is 1/A.

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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.