Question: Suppose a random sample of size n = 6 is drawn from the uniform pdf f Y (y; ) = 1/, 0 y

Suppose a random sample of size n = 6 is drawn from the uniform pdf fY(y; θ) = 1/θ, 0 ≤ y ≤ θ, for the purpose of using ˆθ =Ymax to estimate θ.

(a) Calculate the probability that ˆ θ falls within 0.2 of θ given that the parameter's true value is 3.0

(b) Calculate the probability of the event asked for in part (a), assuming the sample size is 3 instead of 6.

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