This is the most famous bell-shaped curve, but there are other ones with different mathematics.

正态分布是最著名的钟形曲线,但仍有其他表达式下的钟形曲线

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But I want to emphasize that there are also other bell-shaped curves.

但我想强调的是,还存在别的钟形曲线

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If you run these curves only on non-smokers you get rid of that J at the end of the curve and you get pretty much a function that's to the right of the curve here.

如果仅在不吸烟人群中做统计,那么左末端就不会出现J形曲线,而是会得到一条,从左到右逐渐上升的完美的函数曲线

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It's a bell-shaped curve that looks about like that.

大概就是一条这样的钟形曲线

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If we did a--if we go another two decimals-- if we did a million policies, then we would--this would almost just be a spike here at that point, so that's the concept of insurance.

如果我们在一万后面加两个零,如果我们签了一百万份保单,那么这条曲线基本就是尖形了,这些都是保险的相关概念

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So the normal--the bell-shaped curve in that case for the x/n is going to look something like this.

那么x/n的钟形曲线,大概就会是这个样子

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Then, if n = 100--now I'm going to label this x differently, I'm now going to show the normal bell-shaped curve and I'm going to do this from 0 to .4.

如果n=100,现在我得重新标x值,我现在要画正态分布的钟形曲线了,在这儿用0到0.4

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That's a bell-shaped curve, but it's centered exactly on .2.

这是条钟形曲线,它关于x=0.2对称

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That little J shaped curve is explained primarily by cigarette smoking because that keeps weight down in people, it also makes people sick so that their weight gets low because of that, and it explains the high rates of the disease risk there.

这个小J形曲线主要是由吸烟引起的,因为吸烟一方面能让体重降低,另一方面也引起疾病,疾病让人们的体重下降,这也解释了这里的高患病风险

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People have referred to this as a J shaped curve with this little up tick in the left hand side and people--some people have sort of said, well maybe it's not so bad to be overweight because it's not so good to be underweight as well and that's a problem.

人们把这称为J形曲线,最左边有一个向上的弯钩,因此就有人说,也许超重也不一定就是一件坏事,因为体重过轻也不是什么好事,这是个问题

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选