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sandyykn192
02.11.2019 •
Mathematics
There are 435 representatives in the house. suppose that 130 representatives are democrats and 260 are republicans; the rest are independents. assume that no representative belongs to more than one political party. a large infrastructure bill has barely been approved: 130 democrats, 80 republicans, and 10 independents voted in favor of the bill. given that a representative voted in favor of the bill, what is the probability that the representative is a republican? enter an answer that is correct to four decimal places.
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Ответ:
Given that a representative voted in favor of the bill, there is a 36.37% probability that he is a republican.
Step-by-step explanation:
This can be formulated as the following problem:
What is the probability of B happening, knowing that A has happened.
It can be calculated by the following formula:
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
In your problem we have that:
What is the probability that the representative is a Republican, given that he voted in favor of the bill?
P(B) is the probability that the representative is a Republican. There are 435 representatives in the house, of which 260 are republicans. So![P(B) = \frac{260}{435} = 0.5977](/tpl/images/0356/4647/29b29.png)
P(A/B) is the probability that the representative voted in favor of the bill, given that he is a Republican. There are 260 republicans, of which 80 voted in favor of the bill. So![P(A/B) = \frac{80}{260} = 0.3077](/tpl/images/0356/4647/452c6.png)
P(A) is the probability that someone voted in favor of the bill. There are 435 representatives, and 130 + 80 + 10 = 220 voted in favor of the bill. So![P(A) = \frac{220}{435} = 0.5057](/tpl/images/0356/4647/ec482.png)
Applying to the formula
Given that a representative voted in favor of the bill, there is a 36.37% probability that he is a republican.
Ответ:
5 Trucks
Step-by-step explanation:
Since each truck goes on three trips, we multiply the 300 dollars each truck gets per trip by 3 to find the total amount of money each truck makes each week, which is 900. If Lennox made 4500 dollars in one week, at 900 per truck, 4500/900= 5 trucks.