Answer to Question #335244 in Statistics and Probability for KAREL

Question

Suppose there are three people to tested positive in COVID 19. Let P represent positive and N represent negative and Z be the random variables representing the number of infected person that occur. Answer the following

1. What are the different sample space list all

2. What are the values of random variables

3. Creat

Answer 1

1.

$$S=\{PPP, PPN, PNP, NPP,$$

$$PNN, NPN, NNP, NNN\}$$

2. The possible values of random variable $Z$ are: $0,1,2,3.$

3.

$$\def\arraystretch{1.5} \begin{array}{c:c} z & 0 & 1 & 2 & 3 \\ \hline p(z) & 1/8 & 3/8 & 3/8 & 1/8 \end{array}$$