A random variable, X, has uniform distribution on the interval [0,θ] where θ is unknown. A...

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A random variable, X, has uniform distribution on the interval [0,θ] where θ is unknown. A...

A random variable, X, has uniform distribution on the interval [0,θ] where θ is unknown. A hypothesis test is as follows:

H₀: θ = 2

H₁: θ ≠ 2

It has been decided to reject H₀ if the observed value of x is x ≤ 0.1 or x ≥ 1.9.

Part a: Find the probability of committing a Type I error.

Part b: Suppose the true value of θ is 3. Find the probability of committing a Type II error.

Explain all steps!

math Statistics-And-Probability

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