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Let X be a Poisson distribution with parameter . We want to test the following hypotheses: H 0 : = 6 against H 0 =

Let X be a Poisson distribution with parameter . We want to test the following hypotheses: H₀: = 6 against H₀= <6. We decide to reject the null hypothesis if the value x2.

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

(b) Calculate the probability of committing the Type II error when in fact =4.

Please do not AI and give details. thanks

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