Question

Use the two-way frequency table to calculate the probability that the person is a democrat, given theact that the person supports the issue, P(democrat | supports the issue).P(democrat | supports the issue) =(Type an integer or decimal rounded to the nearest hundredth as needed.)

Answer 1

In order to calculate the probability of P(democrat | supports the issue), we can use the following formula for conditional probability:

`\begin{gathered} P(A|B)=(P(A\cap B))/(P(B)) \\ P(democrat|supportstheissue)=(P(democrat\cap supportstheissue))/(P(supportstheissue)) \end{gathered}`

In the right side of the equation, instead of using the probability, we can use the value in the frequency table.

So we have:

`P(democrat|supportstheissue)=(24)/(58)=(12)/(29)=0.41`