What is the conditional probability of P(X > 0.2 | X < 0.6)?

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SUMMARY

The discussion centers on calculating the conditional probability P(X > 0.2 | X < 0.6) using the probability density function f(x) = 9x^3 for 0 < x < 1. To find this conditional probability, one must first determine the probability that X is greater than 0.2 and less than 0.6, which involves integrating the density function over the specified range. This result is then divided by the probability that X is less than 0.6, also calculated through integration of the density function.

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splitendz
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Hi Guys,

I am having some trouble trying to solve a probability density function question.

...If the density function is: f(x) = 9x^3, 0 < x 1. What is the conditional probability of P(X > 0.2 | X <0.6) ??

Any help would be greatly appreciated :)
 
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Find the probability that X is greater than 0.2 and less than 0.6 and divide that by the probability that X is less than 0.6.
 
Thanks for the help BicycleTree
 

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