how to solve the following problems

New legislation passed in 2017 by the US. Congress changed tax laws that affect how many people le their taxes in 2018 and beyond. These tax law changes will likely lead many people to seek tax advice from their accountants.'r An accounting rm in New York state believes that it may have to hire additional accountants to assist with the increased demand in tax advice for the upcoming tax season. The firm has developed the following probability distribution for x = number of new clients seeking tax advice. x f(x) 20 0.10 25 0.20 30 0.20 35 0.20 40 0.10 45 0.10 50 0.10 (a) Is this a valid probability distribution? Explain. This probability distribution Q valid because f(x) 2 0 v \\I for all values of x. Also, 2 f(x) = q (b) What is the probability that the rm will obtain 40 or more new clients? 0.3 q (c) What is the probability that the rm will obtain fewer than 35 new clients? 0.5 q (d) Compute the expected value, variance, and standard deviation of X. (Round your answers to four decimal places.) expected value F v variance 1180.725 X standard deviation 34.3617 X