Timothy Paling <[EMAIL PROTECTED]> wrote in sci.stat.edu:
>I've been posed a question on whether or not
>
>Pr( |T| < c) = 0.8 T~ N(0,1) is equivalent to Pr( -c < T <c ) = 0.8 T~
>N(0,1)
The only thing that differs between the two expressions, as far as I
can see, is that one has |T| < c where the other has -c < T < c. If
c is a positive number, those two expressions are completely
equivalent.
For example, "|x| < 5" is read "the absolute value of x is less than
5" but can also be read as "x is less than 5 units away from the
zero point", which in turn means "x is greater than -5 and x is also
less than 5", which is written "-5 < x and x < 5" or "-5 < x < 5".
--
Stan Brown, Oak Road Systems, Cortland County, New York, USA
http://OakRoadSystems.com/
"My theory was a perfectly good one. The facts were misleading."
-- /The Lady Vanishes/ (1938)
.
.
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