- #1

- 14

- 0

## Main Question or Discussion Point

Hi all

I'm looking for solving this problem to find the closed form solution if it is possible:

[itex]Y=\frac{1}{X}[/itex]

Where X is uniform random variable > 0

I know the expected value for X which is [itex]\overline{X}[/itex]

is there a method to find the expected value of Y which is [itex]\overline{Y}[/itex] in term of [itex]\overline{X}[/itex] as closed form solution?

I know how to calculate it easily using numerical solution, but I need it for modeling problem and I need the analytical solution.

Thanks

I'm looking for solving this problem to find the closed form solution if it is possible:

[itex]Y=\frac{1}{X}[/itex]

Where X is uniform random variable > 0

I know the expected value for X which is [itex]\overline{X}[/itex]

is there a method to find the expected value of Y which is [itex]\overline{Y}[/itex] in term of [itex]\overline{X}[/itex] as closed form solution?

I know how to calculate it easily using numerical solution, but I need it for modeling problem and I need the analytical solution.

Thanks