Find the marginal density for by integrating the joint PDF over all possible values of :
Then the density of conditioned on is
for and undefined elsewhere.
Thus
= = =
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Collected at twice the amount collected each time the previous time
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The future worth (F) of the investment at present (P) with a compound interest i after n years is calculated through the equation,
F = P x (1 + i)^n
Substituting the known values,
F = ($200) x (1 + 0.07)^5 = $280.51
Thus, the future worth of the investment is approximately $280.51.