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.t An accounting firm 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. f(x) 20 0.05 25 0.20 30 0.35 35 0.15 40 0.10 45 0.10 50 0.05 (a) Is this a valid probability distribution? Explain. This probability distribution is valid because f(x) z 0 Ov for all values of x. Also, 5 f(x) = (b) What is the probability that the firm will obtain 40 or more new clients? (c) What is the probability that the firm will obtain fewer than 35 new clients?

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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.t An accounting firm 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.
f(x)
20
0.05
25
0.20
30
0.35
35
0.15
40
0.10
45
0.10
50
0.05
(a) Is this a valid probability distribution? Explain.
This probability distribution
valid because
for all values of x. Also, f(x)
is
f(x) > 0
(b) What is the probability that the firm will obtain 40 or more new clients?
(c) What is the probability that the firm will obtain fewer than 35 new clients?
(d) Compute the expected value, variance, and standard deviation of x. (Round your answers to four decimal places.)
expected value
41.75
variance
352.5656
standard deviation
18.7768 X
<>
Transcribed Image Text: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.t An accounting firm 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. f(x) 20 0.05 25 0.20 30 0.35 35 0.15 40 0.10 45 0.10 50 0.05 (a) Is this a valid probability distribution? Explain. This probability distribution valid because for all values of x. Also, f(x) is f(x) > 0 (b) What is the probability that the firm will obtain 40 or more new clients? (c) What is the probability that the firm will obtain fewer than 35 new clients? (d) Compute the expected value, variance, and standard deviation of x. (Round your answers to four decimal places.) expected value 41.75 variance 352.5656 standard deviation 18.7768 X <>
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