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.

The group of interest is the pack of heart cards.

The group of interest is hearts.

The pack of cards contain$52$in total and the pack contains the deck of hearts is$13$, therefore, the total card$52-13=39$

The total pack of cards is $52$which includes hearts, spades, clubs, and diamonds. Other group includes the number of hearts in a deck which is$13$

Random variable in simple terms generally refers to variables whose values are unknown, therefore, in this case X is the number of cards that are not hearts.

The value of X is$0,1,2,3,...........,13.$

The probability question is$P(X=13)$

The probability so formed is

To find the mean we are given,

$n=13,b=39,r=13$

standard deviation is ${\mathrm{δ}}_x=\sqrt{{\mathrm{μ}}_x}$

$$\begin{gathered} \mathrm{δ}=\sqrt{9.75} \\ \mathrm{δ}=1.3653 \end{gathered}$$