If I had Z=Y^3 where Y is a standard normal distribution. How would I approx. calculate the probability of Z<=1 ?, I would understand it if it was Z=Y^2 which is chi-square...

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- November 25th 2010, 09:58 AMSneakyhow to get probability from a normal distribution?
If I had Z=Y^3 where Y is a standard normal distribution. How would I approx. calculate the probability of Z<=1 ?, I would understand it if it was Z=Y^2 which is chi-square...

- November 25th 2010, 11:26 AMmr fantastic
- November 25th 2010, 11:42 AMSneaky
well i have to do P(Y<=1) = P(X^3<=1) = P(X<=1), and since X ~N(0,1), so I can just look in the book for the standard normal distribution values

which is just 0.84134, is that right?

By the way out of curiosity how would the graph look for Y^3 ? - November 25th 2010, 06:40 PMmr fantastic