New legislation passed in 2017 by the U.S. Congress changed tax laws that affect how many people file their taxes in 2018 and beyond. These tax law changes will likely lead many people to seek tax advice from their accountants (The New York Times). Backen and Hayes LLC is an accounting firm in New York state. The accounting firms believe that it may have to hire additional accountants to assist with the increased demand in tax advice for the upcoming tax season. Backen and Hayes LLC has developed the following probability distribution for x= number of new clients seeking tax advice.

x	f(x)
20	.05
25	.20
30	.25
35	.15
40	.15
45	.10
50	.10

a. Graph the probability distribution of X.

b. Calculate _x and _x².

c. Calculate the (_x +- _x) and (_x +- 2_x) intervals. What proportion of the measurements will fall within these intervals? Does this result agree with Chebyshev's Theorem? The Empirical Rule?