#### Solved:The density of random variable $X$ is $f(x) = \frac{(x-8)(12-x)}{9}$ for $8\leq x \leq 11$ and 0 otherwise. Using the R integrate function

The density of random variable $X$ is $f(x) = \frac{(x-8)(12-x)}{9}$ for $8\leq x \leq 11$ and 0 otherwise. Using the R integrate function (a) find the probability that $x< 10.4$…