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Homework Statement
The random variable X has an unknown distribution with μ = 10 and σ^2 = 1.2. use Chebyshev's inequity to solve the following.
a) Find an upper bound on the probability that X deviates from its mean by at least 2
b) Find an upper bound on the probability that X deviates from its mean by at least 100.
c) Let D be the amount of deviation from the mean on X, and plot the bound values given by Chebyshev's inequity for 0 < D < 1000. Use a log scale on the y-axis.
d) What does D have to be to guarantee an upper bound of exactly 10^(-6) with Chebyshev's inequity?
Homework Equations
The Attempt at a Solution
I missed lecture the day this was presented and the subject is not in the textbook. I have watched several videos on the concept but they do not seem relevant to this question. I have read a few .edu sites on the matter but seem to be more about the k value. So my professor is out of town till and won't be back before this is due. Can someone give me some guidance on this problem?