The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 27% are Republicans, 56% are Democrats and 17% are Independents. It is reported that 34% of the Republicans, 41% of the Democrats and 25% of Independents favor some type of corporate tax reform. Suppose a member of Congress is randomly selected and he/she is found to favor some type of corporate tax reform. What is the probability that this person is a Democrat?

The probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

Step-by-step explanation:

Let us suppose that,

R = Republicans

D = Democrats

I = Independents.

X = a member favors some type of corporate tax reform.

The information provided is:

P (R) = 0.27

P (D) = 0.56

P (I) = 0.17

P (X|R) = 0.34

P (X|D) = 0.41

P (X|I) = 0.25.

Compute the probability that a randomly selected member favors some type of corporate tax reform as follows:

The probability that a randomly selected member favors some type of corporate tax reform is P (X) = 0.3639.

Compute the probability Democrat is selected given that this member favors some type of corporate tax reform as follows:

Thus, the probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;