91Ó°ÊÓ

A discrete probability distribution, the hypergeometric distribution. It's utilised when you want to know how likely it is to get a certain number of successes from a given sample size without replacement.

Random variable in simple terms generally refers to variables whose values are unknown, therefore, in this case X is the number of pages that advertise footwear.

Make the list of values that you want to use X may take on.

As we can see there is an upper bound for the situation at hand so,

$X=0,1,2,3,........20.$

The random variable X refers to the number of trials and each trial is independent of others and has same probability of success. This implies that random variable X follows Hypergeometric Distribution

$X~Hypergeometric(20,\frac{29}{192})$

The expected number pages to advertise footwear are

$E\left(X\right)=np$where, $n$is the random survey of pages and $p$is number of pages

$$\begin{gathered} E\left(X\right)=20×\frac{29}{192} \\ E\left(X\right)=3.03 \end{gathered}$$

The standard deviation is $\mathrm{δ}=\sqrt{np(1-p)}$

where, $n=20,p=\frac{29}{192}$