Suppose a particular state allows individuals filing taxreturns to itemize deductions

Chapter 4, Problem 114

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Suppose a particular state allows individuals filing taxreturns to itemize deductions only if the total of all itemizeddeductions is at least $5000. Let X (in 1000s of dollars)be the total of itemized deductions on a randomlychosen form. Assume that X has the pdff(x; a) 5 5kyxa x $ 50 otherwisea. 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 randomlychosen form? What restriction on a is necessary forE(X) to be finite?d. Show that ln(X/5) has an exponential distribution withparameter a 2 1.

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