Apopulation of voters contains 40% republicans and 60% democrats. it is reported that30% of the republicans and 70% of the democrats favor an election issue. a person chosenat random from this population is found to favor the issue in question. find the conditionalprobability that this person is a democrat

To get the probability of selecting a person who is a democrat and is favour to the issue, let us first calculate for the portions in each party who is favour on the issue.

p (rep & favour) = 0.4 * 0.3 = 0.12

p (dem & favour) = 0.6 * 0.7 = 0.42

Therefore the total portions who are favour is:

p (favour) = 0.12 + 0.42 = 0.54

Hence the probability is:

P (dem & favour) = 0.42 / 0.54 = 0.7778 = 0.78

Therefore there is about 78% probability that the person selected who is favour to the issue is a democrat.

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

8

step-by-step explanation: