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Q39Section B (Section B)39 of 60

Confidence intervals for an exponential rate parameter

Let X1,…,XnX_1,…,X_n be a random sample from a population with the probability density function

f(x∣θ)={θe−θx,x>0, 0,otherwise,θ>0.f(x|\theta)=\begin{cases}\theta e^{-\theta x}, & x>0,\ 0, & \text{otherwise,}\end{cases}\quad\theta>0.

Which of the following is (are) 100(1−α)%100(1-\alpha)\% confidence interval(s) for θ\theta?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.