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Glen_b
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No, $P(X<1)$ is different from $P(|X|<1)$. After all $-2 < 1$ but $|-2|$ isn't!

To get $P(|X|<1)$ you need to find this area:

required area

. . .

While $P(X<1)$ would be this area:

wrong area

[Credit: I used the shadenorm function here, which was written by Tony Cookson. To editorialize a little, one mark of a really good utility function is one for which basic usage can be discerned from simply reading the argument list; this was one of those - paste it in, use it in the obvious way, it worked. It looks like there's a similar function shade.norm in the package asbio (see the description here)]

No, $P(X<1)$ is different from $P(|X|<1)$. After all $-2 < 1$ but $|-2|$ isn't!

To get $P(|X|<1)$ you need to find this area:

required area

. . .

While $P(X<1)$ would be this area:

wrong area

[Credit: I used the shadenorm function here, which was written by Tony Cookson. It looks like there's a similar function shade.norm in the package asbio (see the description here)]

No, $P(X<1)$ is different from $P(|X|<1)$. After all $-2 < 1$ but $|-2|$ isn't!

To get $P(|X|<1)$ you need to find this area:

required area

. . .

While $P(X<1)$ would be this area:

wrong area

[Credit: I used the shadenorm function here, which was written by Tony Cookson. To editorialize a little, one mark of a really good utility function is one for which basic usage can be discerned from simply reading the argument list; this was one of those - paste it in, use it in the obvious way, it worked. It looks like there's a similar function shade.norm in the package asbio (see the description here)]

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Glen_b
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No, $P(X<1)$ is different from $P(|X|<1)$. After all $-2 < 1$ but $|-2|$ isn't!

To get $P(|X|<1)$ you need to find this area:

required area

. . .

While $P(X<1)$ would be this area:

wrong area

Credit[Credit: I used the shadenorm function here, which was written by Tony Cookson. It looks like there's a similar function shade.norm in package asbio in the package asbio (see the description here)]

No, $P(X<1)$ is different from $P(|X|<1)$. After all $-2 < 1$ but $|-2|$ isn't!

To get $P(|X|<1)$ you need to find this area:

required area

. . .

While $P(X<1)$ would be this area:

wrong area

Credit: I used the shadenorm function here, which was written by Tony Cookson. It looks like there's a similar function shade.norm in package asbio

No, $P(X<1)$ is different from $P(|X|<1)$. After all $-2 < 1$ but $|-2|$ isn't!

To get $P(|X|<1)$ you need to find this area:

required area

. . .

While $P(X<1)$ would be this area:

wrong area

[Credit: I used the shadenorm function here, which was written by Tony Cookson. It looks like there's a similar function shade.norm in the package asbio (see the description here)]

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Glen_b
  • 290.5k
  • 37
  • 652
  • 1.1k

No, $P(X<1)$ is different from $P(|X|<1)$. After all $-2 < 1$ but $|-2|$ isn't!

To get $P(|X|<1)$ you need to find this area:

required area

. . .

While $P(X<1)$ would be this area:

wrong area

Credit: I used the shadenormshadenorm function here, which was written by Tony CooksonTony Cookson. It looks like there's a similar function shade.norm in package asbio

No, $P(X<1)$ is different from $P(|X|<1)$.

To get $P(|X|<1)$ you need to find this area:

required area

. . .

While $P(X<1)$ would be this area:

wrong area

Credit: I used the shadenorm function here, which was written by Tony Cookson.

No, $P(X<1)$ is different from $P(|X|<1)$. After all $-2 < 1$ but $|-2|$ isn't!

To get $P(|X|<1)$ you need to find this area:

required area

. . .

While $P(X<1)$ would be this area:

wrong area

Credit: I used the shadenorm function here, which was written by Tony Cookson. It looks like there's a similar function shade.norm in package asbio

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Glen_b
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Glen_b
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