# standard deviation and mean

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• October 24th 2010, 02:31 PM
andyaddition
standard deviation and mean
If the temperature in degrees fahrenheit at a certain location is normally distributed with a mean at 68 degrees and a standard deviation of 4 degrees, what is the distribtion of the temperature in degrees Celsius at the same location?
• October 24th 2010, 10:25 PM
downthesun01
Don't you just convert the measurements from Fahrenheit to Celsius or is there something I'm missing?
• October 25th 2010, 04:50 AM
mr fantastic
Quote:

Originally Posted by andyaddition
If the temperature in degrees fahrenheit at a certain location is normally distributed with a mean at 68 degrees and a standard deviation of 4 degrees, what is the distribtion of the temperature in degrees Celsius at the same location?

You're expected to know that if X ~ Normal $(\mu, \sigma^2)$ and $Y = aX + b$ then Y ~ Normal $(a \mu + b, a^2 \sigma^2)$.