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2. (10 points) Suppose a state allows individuals filing tax returns to itemize deductions only if the total of all itemized deductions is at least $5000. Let X, measured in $1000s, be the total itemized deductions of a randomly chosen tax form. Assume that X has the probability density function: 0, otherwise (a) (4 points) Find the value of c that would make f(z) a valid PDF where e > 1? (b) (6 points) Show using an appropriate transformation method that Y In has an exponential distribution with mean parameter
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solution)-z -C 212 5 려。 fif of y o-1 e men 1

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