Many american home owners display u. s. flag in their front yard to show their patriotism. in a particular us state 60% of home owners are republicans and 40% are domocrats. a survey indicates that 40% of republicans and 20% of democrats home owners display flags. a. what is the probability that your neighbor is a republican? 5 pts. b. what is the probability that your neighbor is a democrat? 5 pts. c. you notice that your new neighbor hangs a u. s. flag. with this additional information, what is the probability that your neighbor is not a republican? 10 pts. d. you notice that your new neighbor hangs a u. s. flag. with this additional information, what is the probability that your neighbor is not a democrat? 10 pts.

a) 0.6, b) 0.4, c) 0.25, d) 0.75

Step-by-step explanation:

Since we have given that

                        Republicans         Domocrats              Total

Display                   0.24                      0.08                   0.32

Don't display          0.36                      0.32                   0.68

Total                        0.6                         0.4                        1

a. What is the probability that your neighbor is a republican?

b. What is the probability that your neighbor is a democrat?

c.  what is the probability that your neighbor is NOT a republican?

P(not a republican given that display flag) = 1 - P(republican given that display flag)

d) You notice that your new neighbor hangs a U.S. flag. With this additional information, what is the probability that your neighbor is NOT a democrat?

P(not democrat given that display flag) = 1 - P(democrat given that display flag)

Hence, a) 0.6, b) 0.4, c) 0.25, d) 0.75