If sigma(t)^2 denotes the standard deviation in the quantity t^2, show that

sigma(t)^2=2tsigma(t)

I don't even know where to begin... help plzz

1 answer

The formula cannot be correct as you have written it. sigma(t) and sigma(t^2) are constants that are characteristics of the entire distribution. Yet t is a variable. There would have to be a particular t for which the relationship holds. Is your t supposed to be the mean value?