Suppose we wish to estimate the average height µ of Saguaro cacti in the Sonoran desert by observing a random sample of 100 such cacti. Suppose furthermore that the height of a Saguaro cactus is a random variable that is Uniformly distributed on interval [10, 30] with PDF f(x) = 1/20. Propose an estimator to make an educated guess about µ and draw its sampling distribution.

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Q: If x is uniformly distributed from 5 to 12, determine the standard deviation of this distribution

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