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Question

Statistics Question on Estimation

Suppose that the lifetimes (in months) of bulbs manufactured by a company have an Exp(λ)\text{Exp}(\lambda) distribution, where λ>0\lambda > 0. A random sample of size 10 taken from the bulbs manufactured by the company yields the sample mean lifetime xˉ=3.52\bar{x} = 3.52 months. Then the uniformly minimum variance unbiased estimate of 1λ\frac{1}{\lambda} based on this sample is equal to __________ months (round off to 2 decimal places).

Answer

The correct Answer is : 3.50 -3.55(Approx.)