Asked and answered decades ago[0,1].
[0]: https://people.hss.caltech.edu/~camerer/Ec101/JudgementUncer... [1]: http://www.math.mcgill.ca/vetta/CS764.dir/bounded.pdf
[0]: https://people.hss.caltech.edu/~camerer/Ec101/JudgementUncer... [1]: http://www.math.mcgill.ca/vetta/CS764.dir/bounded.pdf