Use chebychevs inequality to estimate the probability

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Unformatted text preview: e mean (corresponding to the 100 samples) is NOT within $10% of the true mean. You must show all your work. to be within 10% of d) How large must the sample size be in order for the sample mean the true mean with probability 0.99? You must show all your work. 4 e) Suppose that in actuality the value of a randomly selected resistor from the large box is modeled as a Gaussian random variable, X, with true means and variances as given above. Derive an expression for the probability that the sample mean (corresponding to the 100 selected samples) is not within 10% of the true mean. You can leave your answer in terms of either the “” function or the “erf” function. f) Suppose that we are required to find the confidence interval corresponding to a confidence level of q=0.99 for a sample size of 100. Namely, we want the interval I=[-a +, a +] such that P{ I}= q. Find an expression for the unknown a. Leave your answer in terms of either the “” function or the “erf” function. 5 4. Suppose that X is a random variable that is u...
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