Suppose a particular state allows individuals filing tax returns to itemize deductions only if the total of

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Suppose a particular state allows individuals filing tax returns to itemize deductions 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

Suppose a particular state allows individuals filing tax returns to

a. Find the value of k. What restriction on a is necessary?
b. What is the cdf of X?
c. What is the expected total deduction on a randomly chosen form? What restriction on α is necessary for E(X) to be finite?
d. Show that ln(X/5) has an exponential distribution with parameter a - 1.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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