In a certain city, 30 percent of the people are conservatives, 50 percent are liberals, and 20 percent are independents. records show that in a particular election, 65 percent of the conservatives voted, 82 percent of the liberals voted, and 50 percent of the independents voted. if a person in the city is selected at random and it is learned that she did not vote in the last election, what is the probability that she is a liberal?

The probability that a randomly selected person from the city who did not vote in the last election is a liberal is about 16.7 percent.

We are trying to find the probability that a person selected at random from the city is a liberal given that they did not vote in the last election. We can use Bayes' theorem and the law of total probability to solve this problem. First, we need to calculate the probability of a person not voting, P(NV), and then find the probability of being a liberal who did not vote, P(L and NV).

The total probability of not voting is P(NV) = P(C) \'97 P(V|C) + P(L) \'97 P(V|L) + P(I) \'97 P(V|I), where P(C) is the probability of being conservative, P(L) is the being liberal, P(I) is the probability of being independent, and P(V|C), P(V|L), P(V|I) are the probabilities of a conservative, liberal, and independent voting, respectively.

So, P(NV) = 0.30 \'97 0.65 + 0.50 \'97 0.82 + 0.20 \'97 0.50 = 0.35 + 0.09 + 0.10 = 0.54. This is the probability that a random person did not vote. Now, we need to find the probability that a person is a liberal and did not vote, P(L and NV) = P(L) \'97 P(NV|L), where P(NV|L) is the probability of a liberal not voting.

P(L and NV) = 0.50 \'97 (1 - 0.82) = 0.50 \'97 0.18 = 0.09. This is the probability that a person is a liberal who did not vote. Finally, to find the probability that a person is a liberal given they did not vote, P(L|NV), we use Bayes' theorem: P(L|NV) = P(L and NV) / P(NV) = 0.09 / 0.54 = 1/6 or approximately 0.167.

In conclusion, the probability that a person selected at random from the city is a liberal given that they did not vote in the last election is about 16.7 percent.

If 2x-5=10, then 2x=

Find the product and simplify your answer. -4k^2(-3k^3+5k-5)

3x-43=8 slove the equation

Which of these equations describe the line shown below check all that apply . plz don't give me the formula and tell me do it that way I'm not good at math I'll give 5 stars if you just give me the answer thanks

Can someone please help me and like show and explain how to get the answer?

Layla is on page 30 of her book and reads 3 pages every night. Sidney is on page 40 of the same book and reads 2 pages every night. How long will it take for Layla to be further in the book than Layla?
A) 3 nights
B) 11 nights
C) 15 nights
D) 71 nights

The larger of two numbers is four more than the smaller number. If the sum of the numbers is 74, find the numbers

Identify the coefficients and variables in each expression. 5j-9cd+2 ??

A couch and coffee table cost a total of $1053. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.

How many different types of cross sections of a cone are possible? A.3
B.5
C.6
D.10

While catching fireflies, you and a friend decide to have a competition. after mm minutes, you have (3m+13)(3m+13) fireflies and your friend has (4m+6)(4m+6) fireflies.
a. write an expression in simplest form that represents the number of fireflies you and your friend caught together?

Which of the following is a possible long-term health effect of stress?
A. heart disease
B. rapid breathing
C. heartburn
D. tense muscles
choose all that apply

A country has a Gross Domestic Product (GDP) of $225. If the GDP deflator is 3, what would be the real GDP of the country? The real GDP of the country is
A. $225
B. $150
C. $200

Write the standard form of the line that contains a slope of -1/2 and y intercept of 1

A sample is a sample that isn't representative of the entire population.
unbiased
systematic
biased

In the equation y = 2x -3 if x = 3, what is the ordered pair of the solution?

-4.31 x 3.09 + (-0.98)

What's the answer to
4.5 divided by 1.8

40% of the men and 30% of the women also belong to a cycling club.

Work out the percentage of the whole membership that belong to a cycling club.

Hat is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)?

Gina's number is 2 more than sara's. the sum of their numbers is 68. what are their numbers?

5x-4(2x+11)=13

solve for x
show all work please

Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on monday and 65 on wednesday . Write and solve an inequality to find out how many blankets the team has to collect on friday?

Two of the angles in a parallelogram measure 5x° and 7x°. what is the value of x?

A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. Use exponential growth formula

what is 50/12 in a mixed number

Two cars leave new york at the same time traveling in opposite directions. one travels at an average speed of 77 mph and the other at 63 mph. in how many hours will they be 280 miles apart?

Please help with 12!!!!!

completa cada enunciado y escribe la proporción correspondiente. si por cada 21.000 se compran tres agendas ¿ con cuanto se compran nueve?

The united states has 12,383 miles of coastline. If 0.8% of the coastline is located in Georgia, about how many miles of coastline are in Georgia

the product of three consecutive nonzero integers