If Sample Information Is Obtained,the Result of the Sample Information

If sample information is obtained,the result of the sample information will be either positive or negative.No matter which result occurs,the choice to select option A or option B exists.And no matter which option is chosen,the eventual outcome will be good or poor.Complete the table. $\begin{array}{cccccc}\begin{array}{ccccc}\text { Sample } \\\text { Result }\end{array} & \begin{array}{c}\text { States of } \\\text { Nature }\end{array} & \begin{array}{c}\text { Prior } \\\text { Probabilities }\end{array} & \begin{array}{c}\text { Conditional } \\\text { Probabilities }\end{array} & \begin{array}{c}\text { Joint } \\\text { Probabilities }\end{array} & \begin{array}{c}\text { Posterior } \\\text { Probabilities }\end{array} \\\hline \text { Positive } & \text { good } & .7 & P(\text { positive } \mid g o o d)=.8 & & \\& \text { poor } & .3 & P(\text { positive } \mid \text { poor })=.1 & & \\\hline \text { Negative } & \text { good } & .7 & P(\text { negative } \mid g o o d)= & & \\& \text { poor } & .3 & P(\text { negative } \mid \text { poor })= &\end{array}$