(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 wellas 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 (in1000s of dollars) be the total of itemized deductions on a randomly chosen form.Assume that X has the pdfx>5,f(x) =otherwise.

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Answered: (a) Determine the value of k for a…

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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Question

(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.

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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