Let be the average of X.
Let be the variance of X.
From the text, we have :
Make the distribution be a standard normal distribution (transforming into
But there is one information left !
Transforming it like we did before :
Now, transform it to a nicer way :
Let , where , following a standard normal distribution (I hope you're a little used to it..otherwise you won't be able to follow..), and using this table : http://sweb.cz/business.statistics/normal01.jpg
The system is now :
You've got 4 unknowns (the pi functions) with three equations.
So try to find the values of these.. I'll give it a try after my posting...
Then, find the corresponding values of and , thanks to the table. Your problem is asking for
I hope this is clear enough... English is not my native language either.