(a) Determine the value of k for a valid pdf. (b) Complete the cdf of X . (c) What is the expected total deduction on a randomly chosen form? (d) Let Y = ln(X /5), where ln(·) is natural logarithm. Determine the pdf as well as the cdf of Y , and further identify which common distribution that Y follows

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 17EQ
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(a) Determine the value of k for a valid pdf.
(b) Complete the cdf of X .
(c) What is the expected total deduction on a randomly chosen form?
(d) Let Y = ln(X /5), where ln(·) is natural logarithm. Determine the pdf as well
as the cdf of Y , and further identify which common distribution that Y follows?

Suppose a particular state allows individuals filing tax returns to itemize de-
ductions only if the total of all itemized deductions is at least $5000. Let X (in
1000s of dollars) be the total of itemized deductions on a randomly chosen form.
Assume that X has the pdf
x>5,
f(x) =
otherwise.
Transcribed Image Text:Suppose a particular state allows individuals filing tax returns to itemize de- ductions only if the total of all itemized deductions is at least $5000. Let X (in 1000s of dollars) be the total of itemized deductions on a randomly chosen form. Assume that X has the pdf x>5, f(x) = otherwise.
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