Chapter 12.3, Problem 16E

(a)

To determine

The likelihood that the dairy will sell more than $1500$ gallons, where a random variable $X$ with density function $f\left(x\right)=4{\left(x-1\right)}^3,1\le x\le 2$.

(b)

To determine

To calculate: The average amount of milk that the dairy sells each week, where a random variable $X$ with density function $f\left(x\right)=4{\left(x-1\right)}^3,1\le x\le 2$.