for those drivers who have radar detectors and who got a speeding ticket, they are NOT more likely to exceed the speed limit regularly than are drivers who are not ticketed. This is in contrary to the conclusion of the stimulus -- Drivers who equip their vehicles with radar detectors ARE more likely to exceed the speed limit regularly than are driver who do not. If A=A1 + A2, B = B1 + B2; and A is not more likely to do somethi1ng than B; Then A1 is not more likely to do something than B2. (A = ticketed. B = not ticketed. 1 = with radar. 2 = w/o radar.)
for those drivers who have radar detectors and who got a speeding ticket, they are NOT more likely to exceed the speed limit regularly than are drivers who are not ticketed. This is in contrary to the conclusion of the stimulus -- Drivers who equip theirvehicles with radar detectors ARE more likely to exceed the speed limit regularly than are driver who do not.
而且你的上述推论里面说的的是 A1 is NOT more likely to do somthing than B; then 1 is not more likely to do something than 2. 并能用If A=A1 + A2, B = B1 + B2; and A is not more likely to do somethi1ng than B; Then A1 is not more likely to do something than B2.来解释呀
我不是NN,请允许我这个普通人来看待这个问题,叙述有点啰嗦,请见谅。 1.If drivers on Maryland highways equipment their vehicles with radar detectors are as likely as exceeding the speed than are drivers who do not, then the proportion all vehicles(both with andnot with radar detectors) ticketed for exceeding the speed limit should be the same,namely, the proportion of vehicles ticketed for exceeding the speed limit and with radar detectors among all the vehicles equals to the proportion 3% of drivers on Maryland highways equipment their vehicles with radar detectors among the all drivers on Maryland. Unstated Assumption: a.whether equip with their vehicles with radar detectors will not influence the possibility of being ticketed. b. One people drive a car.
However,the experience tells us that drivers use radar detectors to avoid being caught by the radar, and then avoid being ticketed. So let's make the argument more precise, the proportion of vehicles ticketed for exceeding the speed limit and with radar detectors among all the vehicles should be lower than 3%. But the data shows that 33 percent of all vehicles ticketed for exceeding the speed limit were equipped with them, far exceeding the number we estimate. Thus, we can conclude that drivers who equip their vehicles with radar detecters are more likely to exceed the speed limit than are drivers who do not. The possibility of being ticketed for drivers who equip their vehicles with radar detecters is lower than the possibility of being ticketed for drivers who equip their vehicles without radar detecters. But the possibility of exceeding the limit for drivers who equip their vehicles are higher than than the possibility of exceeding the speed for drivers who equip their vehicles without radar detecters. Here is the logistic sequence.
贴一个Manhattan的解释:来自Stacey:
Summary:
3% of all equipped with detectors
33% of vehicles caught speeding equipped with detectors
Conclusion: drivers who use detectors are more likely to speed regularly than those who don't
Author has made a leap between speeding only occasionally and getting (unluckily) caught vs. speeding regularly - but the rest of the argument does not actually mention anything about the frequency of speeding of various groups. It may be obvious that the more often you speed, the more chances you have to get caught - but the argument does not spell this out.
Choice A does not address author's conclusion - he's contending that drivers who choose to use detectors do so because they plan to speed regularly. This choice says that whether someone has a detector has a bearing on whether s/he gets caught - which may be true in the real world, but it does not answer this question.
Choice B addresses this leap that the author makes about the frequency of speeding. If drivers who are ticketed are likely to exceed the speed limit regularly, then the 33% of vehicles caught speeding with detectors will fall into this category of people who are more likely to speed regularly. Remember, again, that it may be obvious that the more often you speed, the more likely you are to get caught - but the argument doesn't literally spell it out, and that's the point. The author is just assuming this point is true without spelling it out.
D is incorrect because its content is irrelevant to the content of the passage.
the passage talks in terms of percentages of the number of VEHICLES ticketed - not percentages of the total number of tickets. therefore, even if certain vehicles were ticketed multiple times, nothing in the argument would change (because one vehicle still counts as one vehicle, even if it is pulled over multiple times).
also note that you're looking for an ASSUMPTION that is REQUIRED by the passage. if you pick an answer like d - which is clearly not REQUIRED by the argument, even if you don't immediately see why it's irrelevant - that probably means you aren't reading the question prompt correctly.
RON--the existing problem with the passage is that it conflates "people who are ticketed for speeding" with "people who speed regularly".
since these two things are, in fact, not the same, we need an assumption that the group of people ticketed for speeding actually represents people who speed more often.
basically, this argument is treating X (= people ticketed for speeding) as if it were the same as Y (= people who actually speed all the time).
this X and Y are not necessarily connected, so you need an assumption that connects them. the correct answer does this job.
you would need the same type of assumption if, e.g., the premises of the argument talked about "people convicted of crime X" but the conclusion talked about "people who have committed crime X".
if this were a strengthening/weakening problem, then choice (a) would be a strengthener; if people driving with radar detectors were actually less likely to be caught and ticketed, then the 33%/3% discrepancy described in the passage would actually take on even more significance.
an assumption is a statement that is REQUIRED in order for the argument to work. (if you have a statement that considerably strengthens the argument, but isn't actually REQUIRED, then it's not an assumption. period.)
this assumption treats the population of drivers who are ticketed for speeding as a reliable representation of the general population of speeders. although this may seem "obvious" to you, it is still a required assumption!