Let X have an exponential distribution conditioned to be greater than 1. That is, for t >

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Let X have an exponential distribution conditioned to be greater than 1. That is, for t > 1, P(X ≤ t) = P(Y ≤ t|Y > 1), where Y ∼ Exp(λ).
(a) Find the density of X.
(b) Find E[X].

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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