From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at random. Let the random variable X denote the number of…

From a lot of $\displaystyle 10$ items, which include $\displaystyle 3$ defective items, a sample of $\displaystyle 5$ items is drawn at random. Let the random variable $\displaystyle X$ denote the number of defective items in the sample. If the variance of $\displaystyle X$ is $\displaystyle \sigma^2$, then $\displaystyle 96 \sigma^2$ is equal to $\displaystyle \_\_\_\_$.