Assume that you're measuring the mass of a material with a random error that has zero mean and variance of 3. The measurement model can be presented as: M₁ = m + ei where Mi is the ith measurement, and e, is the error term. We would like to have high confidence (probability at least 90%) that the average of the measurements is very close to the real mass (with at most 0.5 kg error). Using the Chebyshev's inequality, calculate how many sample do you need to ensure the requirements.
