Question

A geologist is attempting to measure the distance between two mountain peaks by taking the average of a series of measurements. Each measurement X; is an i.i.d. random variable with mean d and variance of 10 inches. Using Chebyshev's inequality, how many measurements must the geologist make in order to be 99% certain that the value he obtains is within 1/4 inch of the actual distance?

Answer 1

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