b) Let Y₁, Y2,..., Yn denote a random sample of size n from gamma distribution with parameter a and B. Given that a = 1, find the Cramer Rao Lower Bound for the unbiased estimator B if Var(B) = .Hence, what is your conclusion? n

Q: Consider a discrete random variable X with a pmf given by i) ii) iv) p(x) = cx2, if x = 1,2,3,4 0,…

A:

Q: Suppose X, Y, Z are iid observations from a Poisson distribution with parameter λ, which is unknown.…

A:

Q: Let Y, represent the ith normal population with unknown mean #, and unknown variance of for i=1,2.…

A: From the above given data the following solution is provided below:

Q: Use the t-distribution and the given sample results to complete the test of the given hypotheses.…

A:

Q: Let Y1, Y2,...,Y, denotes a random sample from the uniform distribution on the interval (0,0 + 1).…

A: Given :Let Y1,Y2,..,Yn denotes a random sample from the uniform distributionon the interval…

Q: 28. Let X,..., X, be a random sample from EXP(8), and define ô, = X and Ô, = nX/(n + 1). (a) Find…

A: Disclaimer: " Since, you have asked a question with more than 3 sub-parts. As per guideline we can…

Q: Given a gamma distribution with alpha equal to 3 and ß unknown. Find the

A: 4. From the given information, the gamma distribution with alpha equal to 3 and β unknown. Let us…

Q: John rejected a null hypothesis in a right-tailed test for a mean at alpha = 0.025 because the…

A: Given information α = 0.025 Critical T-value = 2.0 Calculated T-value = 2.345 Calculated T-value =…

Q: A data with 18 points will be integrated as accurately as possible using a combination of Simpson's…

A: Given that, A data with 18 points will be integrated as accurately as possible using a combination…

Q: Theorem 3: Let x - (x1, X2 - m-, Xyo. sample variance S. Also, let y = (Y, Y ..yp m m,Ya) be a data…

A: x1,x2,...,xn is a data set with sample mean x and sample variance Sx2.  And, y1,y2,....,yn is…

Q: Let X₁, X₂ be independent random variables with mean and variance o, and a is a constant. We also…

A: Given that X1,X2 be independent random variables with mean μ adn variance σ2. So, E(X1)=μ=E(X2) and…

Q: The random variable Y has normal distribution with a mean of 30 and a variance of 16, i.e. Y~ N(30,…

A: Given,

Q: Let Yı, Y2,, Ya be a random sample from the following distribution fG) = {02 for 0sy 202 elsewhere…

A: We want to find the sufficient statistic

Q: find the expected value of Y and the variance of Y to three decimal places where approp

A: Let Xi be independent uniform (-9, 9) random variables.Formula:If X follows U(a,…

Q: Let X1, X2, · .. ,Xn be i.i.d. samples distributed according to Geo(q). Consider the sample mean as…

A: Answer is given using concept of iid and expectation. please find solution below:

Q: We have the following information about the random variables X and Y: |x=2, |y=−1 , ox = 0.25, c X…

A: a)It is given that, .

Q: Let X1, . . ., Xn be a random sample from a gamma distribution with parameters α and β. Estimate the…

A: Given that  be a random sample from a gamma distribution with parameters  and .

Q: (Q2) Suppose Y₁,..., Y, are mutually independent random variables such that for a given Xi…

A: (i) To find the 95% confidence interval for ß, we use the formula:\[ \hat{\beta} \pm…

Q: Find V(Y),

A: Let X1, X2 be fuel efficiencies for independently and randomly selected turbo and standard cars,…

Q: 2. Let X1, X2, ..., X, be iid random variables with a common pdf/pf f(x, 0) depending on an unknown…

A: Please see the handwritten solution.