Re: Probability Problem 2

Aero wrote:
) As an aside, I consider how the solution of the following question
) relates to that of the question originally posted:
)
) Given three independent draws from a normal distribution, what is the
) probability that the first draw has a value between the other two?

That would be 1/3.

) If you examine the draws in turn, this is like the problem of the
) original post, but instead you want the first point (rather than the
) third) to lie between the other two. So, the first point would
) partition the infinite line into two equal sections.

False. Because you picked the first point from a normal distribution, it
will be either left or right from the center of that distribution.
That means that the other two points are more likely to be both on the same
side.

) I question the solution I gave above, because I'm not sure if a random
) point on a line can really be said to effectively split the line in
) half. Maybe it can if I decide to think of the line as the real
) number line and assume point A to be at zero.

You *can't* assume it to be at zero, because the normal distribution
*already* defines a zero point, namely the center of the normal.


SaSW, Willem
--
Disclaimer: I am in no way responsible for any of the statements
made in the above text. For all I know I might be
drugged or something..
No I'm not paranoid. You all think I'm paranoid, don't you !
#EOT
.

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