Chebyshevs Theorem and Empirical Rule

Please show all of your work when answering the following:

I. Use Chebyshevs theorem to find what percent of the values will fall between 162 and 292 for a dataset with a meanof 227 and standard deviationof 13.

II. Use the Empirical Rule to find what two values 99.7% of the data will fall between for a data set with a mean of 246 and standard deviation of 16.

Upper value of data (Xh) = 292

Lower value of data (Xl) = 162

Mean (u) = 227

Standard deviation (SD) = 13

Chebyshev’s theorem:
Pr(|X – u| >= k*SD) <= 1/k^2

|Xh- u| = |292 – 227| = …

The solution uses Chebyshevs Theorem and Empirical Rule to answer the given questions.