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Probability Old Exam P Forum

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Old 10-27-2014, 01:51 PM
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zjbarden zjbarden is offline
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Default Exam P Shortcuts

So I'm sitting in November on the 10th and as I have two weeks until the exam, I have been looking for more shortcuts to save me time overall. I am familiar with the Darth Vader rule but not much more.

Are there any other shortcuts I should be aware of?
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Old 11-05-2014, 01:26 AM
cpenguins cpenguins is offline
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One shortcut that I really like is the bernoulli shortcut for variance.

If you have an event,X, with TWO possible outcomes; A with probability p, and B with probability 1-p,

Then Var(X)= ((a-b)^2)p*(1-p).

this is useful when you are calculating Var(E(Y|X)), and X has two outcomes.

Var(E(Y|X)) becomes (a-b)^2 * p *(1-p).

Im sitting on the 11th, let me know if you have any other shortcuts!
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Old 11-07-2014, 12:26 PM
trevmac123 trevmac123 is offline
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If you ever need to integrate an exponential times a power of t with bounds that aren't 0 to infinity (cuz those you can just use 1/u and 1/u^2 to find them), then instead of going through integration by parts or tabular integration, it ends up being -e^-t*(original function + 1st derivative + 2nd derivative etc.) until you get to 0.

For example,
Integral of t^2*e^-t = -e^-t*(t^2 + 2t + 2).

If the t in your exponential is being multiplied by a constant, then out front put 1 over that constant raised to whatever the original power of t is. I found this to be a very nice time saver instead of doing integration by parts or tabular integration for t and t^2 times an exponential.
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Old 12-10-2014, 01:39 PM
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Whenindoubtcalculate Whenindoubtcalculate is offline
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If you calculate to evaluate an integral then just punch it into your calculator at the end instead of expanding it.
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