Calculation of $P( X>- {\cal E}[2^{-x}] | X

A random variable $ X$ has a cumulative distribution function $ F$ defined by a formula:

6vc0r Calculation of $P( X>  {\cal E}[2^{ x}] | X

I do not know how can I calculate

$ $ P(X>{\cal E}[2^{-X}]|X<{\cal E}[X^3])$ $ ,

where $ {\cal E}[\cdot]$ is the expectation operator.

1 Answer

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