Suppose a sample of size 1 is taken from the pdf f Y (y) = (1/)e y/

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Suppose a sample of size 1 is taken from the pdf fY(y) = (1/λ)e−y/λ, y > 0, for the purpose of testing

H0: λ = 1

versus

H1: λ > 1

The null hypothesis will be rejected if y ≥ 3.20.

(a) Calculate the probability of committing a Type I error.

(b) Calculate the probability of committing a Type II error when λ = 4/3.

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