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Random variables don't have inverses, but operators do. The reciprocal is understood to be the multiplicative inverse of a number. Cleaned up a fraction.
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edit approved Jul 26, 2021 at 13:50
Galen
edit approved Jul 26, 2021 at 13:50
Galen
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Mean and variance of inversethe reciprocal of a normal RVrandom variable

My random variable $X$ is normally distributed with mean $b$ and variance $p$. I defined a new RVrandom variable, $Y$, such that $Y=1/X$$Y=\frac{1}{X}$. Does anyone know how to find the mean of $Y$ and $Y^2$?

Mean and variance of inverse of a normal RV

My random variable $X$ is normally distributed with mean $b$ and variance $p$. I defined a new RV, $Y$, such that $Y=1/X$. Does anyone know how to find the mean of $Y$ and $Y^2$?

Mean and variance of the reciprocal of a random variable

My random variable $X$ is normally distributed with mean $b$ and variance $p$. I defined a new random variable, $Y$, such that $Y=\frac{1}{X}$. Does anyone know how to find the mean of $Y$ and $Y^2$?

Tweeted twitter.com/#!/StackStats/status/379078903522152448
added tags; shortened title; edited for English; added tex; removed thanks
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gung - Reinstate Monica
gung - Reinstate Monica
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Mean and variance of inverse of a normal distribustion pdf of mean b and variance pRV

my rv X has a normal distribution pdfMy random variable $X$ is normally distributed with mean b$b$ and variance p$p$. i I defined a new rvRV, (Y)$Y$, such that Y=(1/X)$Y=1/X$. doesDoes anyone know how to find the mean of Y$Y$ and Y^2$Y^2$? Thank you

Mean and variance of inverse of a normal distribustion pdf of mean b and variance p

my rv X has a normal distribution pdf with mean b and variance p. i defined a new rv (Y) such that Y=(1/X). does anyone know how to find the mean of Y and Y^2? Thank you

Mean and variance of inverse of a normal RV

My random variable $X$ is normally distributed with mean $b$ and variance $p$. I defined a new RV, $Y$, such that $Y=1/X$. Does anyone know how to find the mean of $Y$ and $Y^2$?

Post Migrated Here from mathoverflow.net (revisions)
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user40005
user40005

Mean and variance of inverse of a normal distribustion pdf of mean b and variance p

my rv X has a normal distribution pdf with mean b and variance p. i defined a new rv (Y) such that Y=(1/X). does anyone know how to find the mean of Y and Y^2? Thank you