Let X1, X2, . . . , Xn represent a random sample from a Rayleigh distribution with pdf...

Let X₁, X₂, . . . , X_n represent a random sample from a Rayleigh distribution with pdf

a. It can be shown that E(X²) = 2θ . Use this fact to construct an unbiased estimator of based on (and use rules of expected value to show that it is unbiased).

b. Estimate from the following n = 10 observations on vibratory stress of a turbine blade under specified conditions: