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1) I generate 1000 random numbers between 0 and 10 and take the average.

If I do the above action "many" times the resulting average values will be a normal distribution over 0 to 10. Correct?

What I want after "many" iterations of generating 1000 random numbers (+ some manipulation) is to produce average values between 3 and 7, distributed evenly between 3 and 7.

What's my approach here?

3 Answers 3