Hi, i've tried to solve this problem, but i have only ideas. Can you tell me if this is the way to solve this problem?. Thanks in advance!

Problem:

Resistance has a mean value of 330 ohms with a tolerance of 1% corresponding to 3 standard deviations. has an gaussian distribution. If

and

where, V is a 9 Volts constant voltage and has a value of 330 ohms.

- Calulate the mean and variance of
- Calculate the pdf of

My ideas:

Only and are random variables, and is a function of , thus . So, for the mean of :

right??

Or, should i calculate first the cdf with

or, directly the pdf with

Can you give me some tips and hints??

Thank you all!!