Chebyshev's inequality provides general bounds on the probability that a random variable can take values greater than so many standard deviations away from its expected value. Consider the following data set: 11.3, 7.6, 11.4, 13.3, 11.0, 12.1, 11.5, 9.4, 10.6, 8.4. One can calculate that the probability that a value is within a range between mean minus/plus 1.4 times standard deviation by considering that this random variable is normally distributed. Alternatively, one can calculate the same probability based on Chebyshev's inequality. What is the difference of the two calculated probability estimates based on the Normal distribution and Chebyshev's inequality? A. 0.20 B. 0.25 C. 0.30 D. 0.35 E. 0.40 F. 0.45
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