Why is it that we only need to observe the sample average

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Suppose that the lifelengths (in thousands of hours) of light bulbs are distributed Exponential(θ ), where θ > 0 is unknown. If we observe x¯ = 5.2 for a sample of 20 light bulbs, record a representative likelihood function. Why is it that we only need to observe the sample average to obtain a representative likelihood?

Reference no: EM132372838

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