Problem 1
Let $X_1, X_2, \dots, X_4$ be a random sample from $N(1, 9)$ and let $Y_1, Y_2, Y_3$ be an independent
random sample from $N(1, 4)$. Find $P(\frac{S_X^2}{S_Y^2} > 1)$ using a proper F distribution, where $S_X^2$ and
$S_Y^2$ are sample variances for the two random samples respectively. Write your final answer
using the R/RStudio function pf.
