Atotal of 46 percent of voters in a certain city classify themselves as independents, whereas 30 percent classify themselves as liberals and 24 percent conservatives. in a recent local election, 35 percent of the independents, 62 percent of the liberals, and 58 percent of the conservatives voted. a voter is chosen at random. given that this person in the local election, what is the probability that he or she is:

(a) an independent
(b) a liberal
(c) a conservative
(d) what fraction of voters participated in the local election?

a) Given that this person voted in the local election, there is a 33.11% proabability that he or she is an Independent.

b) Given that this person voted in the local election, there is a 38.26% proabability that he or she is a Liberal.

c) Given that this person voted in the local election, there is a 28.63% proabability that he or she is a conservative.

d) 48.62% of voters participated in the local election.

Step-by-step explanation:

We have these following percentages:

46% of the voters in the city are Independents.

30% of the voters in the City are Liberals

24% of the voters in the City are Conservatives.

In a recent election

35% of the Independents voted

62% of the Liberals voted

58% of the Conservatives voted.

Given that this person voted in the local election, what is the probability that he or she is:

The first step to solve this problem is finding the fraction of voters that participated in the local election, that is, question d.

(d) What fraction of voters participated in the local election?

This is the sum of 35% of 46%, 62% of 30%, 58% of 24%. So:

48.62% of voters participated in the local election.

(a) an Independent

46% of the people are independent, and 35% of them voted.

So the probability that the person is an independent, given that she voted is:

Given that this person voted in the local election, there is a 33.11% proabability that he or she is an Independent.

(b) a Liberal

30% of the people are Liberal, and 62% of them voted.

So the probability that the person is a Liberal, given that she voted is:

Given that this person voted in the local election, there is a 38.26% proabability that he or she is a Liberal.

(c) a conservative

24% of the people are Liberal, and 58% of them voted.

So the probability that the person is a conservative, given that she voted is:

Given that this person voted in the local election, there is a 28.63% proabability that he or she is a conservative.

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.