Question

. Suppose a certain country has a fat-rate tax system, where everyone is ta.xod the same percentage regardless of income. addition, suppose everyone is forced to pay an additional $1000 per year. Let T be taxes, and X be income. Then, the equation relating T and X is: T 1000+0.30X Assume that the population average income is $35,000 with standard deviation $10,000. (a) Find the mean of T (b) Find the standard deviation of T (c) If there are 1,000,000 people in the country, find the total tax revenue.
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Answer #1

Solulion Fvon given dado, -Γ 1000 + 0,30 χ 35 000wth S ion avage incorne » urne tha deiołion f10,000 When x 35,000 (a) Th mean of T Meon o T1000 0 30 (35000 e0000500 $1 500 Mean slando d deviation of T: 0.3x๙ o.3x 10000 Standod deviaļionofT:f3000a eenue0oo,000 mean of T -To-al Ye venue = $11,500,000,000

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