The Cauchy distribution has PDF 1 f (x) = r(1 + x2)' for all x. (We will introduce the Cauchy from another point of view in Chapter 7.) Find the CDF of a random variable with the Cauchy PDF. Hint:...

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The Cauchy distribution has PDF
1 f (x) = r(1 + x2)'
for all x. (We will introduce the Cauchy from another point of view in Chapter 7.) Find the CDF of a random variable with the Cauchy PDF. Hint: Recall that the derivative of the inverse tangent function tan-1(x) is 1+1.2.

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Answered Same DayDec 26, 2021

Answer To: The Cauchy distribution has PDF 1 f (x) = r(1 + x2)' for all x. (We will introduce the Cauchy from...

David answered on Dec 26 2021

133 Votes

( )
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( ) ∫ ( )
∫
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I know that
∫

Hence,

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SOLUTION.PDF

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The Cauchy distribution has PDF 1 f (x) = r(1 + x2)' for all x. (We will introduce the Cauchy from another point of view in Chapter 7.) Find the CDF of a random variable with the Cauchy PDF. Hint:...

Answer To: The Cauchy distribution has PDF 1 f (x) = r(1 + x2)' for all x. (We will introduce the Cauchy from...

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