use-the-information-in-the-table-319-to-answer-the-next-eight-exercises-the-table-shows-the-politica

Question

Use the information in the Table 3.19 to answer the next eight exercises. The table shows the political party affiliation of each of 67 members of the US Senate in June 2012, and when they are up for reelection.
TABLE CANNOT COPY

What is the probability that a randomly selected senator has an “Other” affiliation?

Dawn Getman · Accepted Answer

go. Hi. We&#x27;re looking at question one A one which asked, What is the probability that a randomly selected senator has an other affiliation? And it refers to table 3.19 which is right above it in the text pages. And since our other column has zero for all of our answers, Um, there&#x27;s no, um In the November 2014 and the November 2016 election, there were zero For the others. That means that the probability of getting an other would just be zero nice and easy. Thank you.

Dawn Getman · Answer

Hi. We&#x27;re looking at question 103 That asked, What is the probability that randomly selected senator is a Democrat and up for re election in November 2016? So to find that probability, we need the number of total favorable outcomes on the top. We should be Democrats and being elected, re elected in November, twice 16 and on the bottom, we&#x27;re gonna have all possible outcomes, so we&#x27;ll draw a fraction line. And on the top, we&#x27;re looking for the total that work Democrats and re elected in 2016. So if we find the doubt Democrat column and go down that until we find the road that says November 2016 and we follow till those two meet, we find that there are 10 Democrats that were re elected in November of 2016. And then our total number of senators was 67. So we will go ahead and use our calculator to do 10 divided by 67 and we end up with 0.15 as our final answer. Thank you

Dawn Getman · Answer

Hi. We&#x27;re looking at question 102 That asked, What is the probability that a randomly selected senator is up for re election in November 2016 and it refers to table 3.19 which is right above it in the textbook. So we need to find out how many senators total were up for re election, both in the Democratic and the Republican Party. And there were 10 in the Democratic Party and there were 24 in the Republican Party. So that&#x27;s how many of our favorable outcomes that we have and remember probabilities the favorable outcomes divided by all possible outcomes. And in the question that tells us that there were 67 on senators questioned. So that makes our total possible outcome 67. So we will add the 10 plus the 24 is this 34 and we can divide by the 67 total. So our final answer is 0.51 and we get that just by dividing 34 divided by 67. Thank you

Dawn Getman · Answer

Hi, We&#x27;re looking at question 104 That asked, What is the probability that a randomly selected senator is a Republican or is up for re election in November 2014? So for this one, because it&#x27;s a or question, we want to be careful about double counting. And so we need to find the probability that they&#x27;re Republican and the probability that they&#x27;re Republican is going to be looking in the Republican column. And that would be 13 plus the 24. And that would be out of the 67 total centers. So that would be 37 out of the 67 senators. And then we also need to find the probability that there re elected in November of 2014 and for the re elected in November. We&#x27;re gonna add that row, which is 20 plus 13 all over our total, which is 67. So there&#x27;s 33 senators on the 67 that were re elected in 2014. But notice we&#x27;ve got this 13 in here twice, and those are the same 13 senators, so we don&#x27;t want to count them twice. So what we&#x27;re gonna do is we&#x27;re gonna take our probability of Republicans, which is 37 out of 67 plus our probability of being re elected in November of 2014 which is 33 out of 67. And then we&#x27;re gonna subtract though that repeats we&#x27;re going to subtract the 13 on a 67. Since we have a common denominator weaken, just attract those and are well, add the 37 the 33 then subtracted 13. That&#x27;s attracted all of it and do 57 over 67 then when you divide that, you get 670.8 guys, they

Dawn Getman · Answer

Hi. We&#x27;re answering the question that I asked about the U. S. Senators and what the probability is that the senator is up for re election in November 2014 knowing that the senator is a Republican. So, as you see on the screen, that&#x27;s the probability that you&#x27;re re elected that the re election in November 2014 given that they&#x27;re Republican. So when we have to calculate a probability of one thing given another, remember, it&#x27;s the probability of a given B, which is equal to the probability of A and B over the probability of B. So in this case, it&#x27;s gonna be the probability of re electing in November 2014 given that there were Republican. So we need to calculate the probability that their elected in November 2014 and are Republican over the probability that they&#x27;re Republican. And so the probability that then on, like, re elected in November 2014 and the Republican is on our chart so we can follow the reelect November 2014 over, and we find the column that has Republican above it. And there are 13 Republicans that are also re elected in November 2014 and then because it&#x27;s given the probably Republican. We want to calculate the total for that Republican column if you haven&#x27;t already. So that&#x27;s 13 plus 24 for a total of 37 Republican senators in this survey. So we&#x27;re gonna take the 13 divided by the 37 which gives us 0.35 for a final answer. Thank you.

Dawn Getman · Answer

Hi. So we&#x27;re answering the question that I asked about the randomly selected senator. We know that&#x27;s a randomly selected senator. We want the probability that, um, it&#x27;s a Democrat, given that we know it&#x27;s a randomly selected senator from the November 2016 re election, which is what I have written here on the screen. So if you remember to calculate a given kind of probability, for example, if we have the probability of a given B, that&#x27;s equal to the probability of A and B together over the probability of B. So we&#x27;re gonna do the same kind of thing here to answer this question and put it in terms of the question itself. So the probability that it&#x27;s a Democrat, given that they&#x27;re re electing in November 2016. So that would be equal to the probability that it&#x27;s a Democrat and the November 2016 election over the probability of all the senators in the November 2016 election. So we&#x27;re gonna look at our table and the 1st 1 the numbers given to us. We just need to look in the Democrat column and go down to the road. This is re elect November 2016 and you&#x27;ll see that there&#x27;s 10 senators in that column, and then we&#x27;re gonna use the road that says November 2016 reelection. We would need to add those up if you haven&#x27;t already done that. So 10 plus 24 which is 34 and then we use our calculator to divide that and we end up with zero point 29 for one, and that&#x27;s all there is having a.

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Use the information in the Table 3.19 to answer t…

Problem 101 Medium Difficulty

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