Question :

Let X be a Uniform Variate defined on (-k,k). Determine k so that

$\displaystyle P(|X| < 2) = P(|X| > 2)$

Please could please tell me what formula should i use to solve this question?

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- Dec 2nd 2009, 04:17 PMzorroUniform Variate
Question :

Let X be a Uniform Variate defined on (-k,k). Determine k so that

$\displaystyle P(|X| < 2) = P(|X| > 2)$

Please could please tell me what formula should i use to solve this question? - Dec 2nd 2009, 08:58 PMmr fantastic
- Dec 2nd 2009, 09:52 PMmatheagle
use the fact that those are complementary events.

- Dec 4th 2009, 02:40 PMzorroI dont know where to start
- Dec 5th 2009, 01:21 AMmr fantastic
Draw a picture and use basic geometry.

Alternatively:

$\displaystyle \Pr(|X| < 2) = \Pr(|X| > 2)$

$\displaystyle \Rightarrow \Pr(|X| < 2) = 1 - \Pr(|X| < 2)$ (using matheagle's suggestion)

$\displaystyle \Rightarrow \Pr(|X| < 2) = \frac{1}{2}$.

And you really should be able to use either the pdf or simple geometry to calculate $\displaystyle \Pr(|X| < 2)$.

Hence solve for k. - Dec 8th 2009, 08:08 PMzorro
- Dec 8th 2009, 11:05 PMCaptainBlack
- Dec 9th 2009, 12:11 AMzorroI am sorry for these annoying quetions
- Dec 9th 2009, 03:02 AMCaptainBlack
- Dec 9th 2009, 03:15 AMmr fantastic