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According to the Internal Revenue Service, income tax returns one year averaged $1,332 in refunds for taxpayers. One explanation of this figure is that taxpayers would rather have the government keep back too much money during the year than to owe it money at the end of the year. Suppose the average amount of tax at the end of a year is a refund of $1,332, with a standard deviation of $725. Assume that amounts owed or due on tax returns are normally distributed. (a) What proportion of tax returns show a refund greater than $1,900? (b) What proportion of the tax returns show that the taxpayer owes money to the government? (c) What proportion of the tax returns show a refund between $100 and $610? (Round the values of z to 2 decimal places, e.g. 2.53. Round your answers to 4 decimal places, e.g. 0.2531.) (a) P(x > $1,900) = (b) P(x < 0) = (c) P($100 ≤x≤ $610) =

According to the Internal Revenue Service, income tax returns one year averaged $1,332 in refunds for taxpayers. One explanation of this figure is that taxpayers would rather have the government keep back too much money during the year than to owe it money at the end of the year. Suppose the average amount of tax at the end of a year is a refund of $1,332, with a standard deviation of $725. Assume that amounts owed or due on tax returns are normally distributed. (a) What proportion of tax returns show a refund greater than $1,900? (b) What proportion of the tax returns show that the taxpayer owes money to the government? (c) What proportion of the tax returns show a refund between $100 and $610? (Round the values of z to 2 decimal places, e.g. 2.53. Round your answers to 4 decimal places, e.g. 0.2531.) (a) P(x > $1,900) = (b) P(x < 0) = (c) P($100 ≤x≤ $610) =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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According to the Internal Revenue Service, income tax returns one year averaged $1,332 in refunds for taxpayers. One explanation of this figure is that taxpayers would rather have the government keep back too much money during the year than to owe it money at the end of the year. Suppose the average amount of tax at the end of a year is a refund of $1,332, with a standard deviation of $725. Assume that amounts owed or due on tax returns are normally distributed. (a) What proportion of tax returns show a refund greater than $1,900? (b) What proportion of the tax returns show that the taxpayer owes money to the government? (c) What proportion of the tax returns show a refund between $100 and $610? (Round the values of z to 2 decimal places, e.g. 2.53. Round your answers to 4 decimal places, e.g. 0.2531.) (a) P(x> $1,900) = (b) P(x < 0) = (c) P($100 ≤x≤ $610) =
Transcribed Image Text:According to the Internal Revenue Service, income tax returns one year averaged $1,332 in refunds for taxpayers. One explanation of this figure is that taxpayers would rather have the government keep back too much money during the year than to owe it money at the end of the year. Suppose the average amount of tax at the end of a year is a refund of $1,332, with a standard deviation of $725. Assume that amounts owed or due on tax returns are normally distributed. (a) What proportion of tax returns show a refund greater than $1,900? (b) What proportion of the tax returns show that the taxpayer owes money to the government? (c) What proportion of the tax returns show a refund between $100 and $610? (Round the values of z to 2 decimal places, e.g. 2.53. Round your answers to 4 decimal places, e.g. 0.2531.) (a) P(x> $1,900) = (b) P(x < 0) = (c) P($100 ≤x≤ $610) =
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