Solve the below problem:
Q: The Russian mathematician Pafnuti L. Chebychev (1821 - 1894)proved a remarkable theorem called Chebychev's Inequality: In anydata set, if p is the fraction of the data that lies within k standarddeviations to either side of the mean, then p = 1 - _1k2 .
a. According to Chebychev's Theorem, what percent of a data setmust lie within 2 standard deviations of the mean?
b. What percent must lie within 3 standard deviations?
c. Test Chebychev's Theorem on a data set of your choice.