please help me figure this out

Suppose we take two samples from a normally distributed population with unknown mean and variance. If the sample sizes are 12 and 9 respectively, what is the probability that the first sample has a sample variance which is 3 times as large as the second sample. If you don't have access to an appropriate computational tool, you may erpress you answer in terms of the cumulative distribution function for an F variable. If you'd like a tool, I recommend R, which is free and open source. Here are some installa- tion links: https: //www. datacamp. com/community/tutorials/ installing-R-windows-mac-ut or https: //www. r-project. org/ or you can also install using brew on a mac or apt on ubuntu/debian. These kinds of things are also available in MATLAB and Mathematica