HW 7 - Problem 6 clarification

[jain.anand@tcs.com]

In problem 6 it was asked to get the mean of the minimum of 2 uniform distribution between [0,1]. In my answer if I take the mean with 2 digit approximation I get a number which is closer to a different choice of answer vs when I take 1 digit approximation. I am not sure which one is correct. Could you please clarify?

[yaser]

Originally Posted by jain.anand@tcs.com

In problem 6 it was asked to get the mean of the minimum of 2 uniform distribution between [0,1]. In my answer if I take the mean with 2 digit approximation I get a number which is closer to a different choice of answer vs when I take 1 digit approximation. I am not sure which one is correct. Could you please clarify?

Get the mean to as much accuracy as you can, then use that to answer the question.

[jain.anand@tcs.com]

Thank you professor, that does give the right answer. It's a little counter intuitive that the answer turned out this way. Is there a theory behind it? Can it be calculated analytically?

[yaser]

Originally Posted by jain.anand@tcs.com

Thank you professor, that does give the right answer. It's a little counter intuitive that the answer turned out this way. Is there a theory behind it? Can it be calculated analytically?

It can be calculated analytically. It is part of the theory of "order statistics."

[jain.anand@tcs.com]

Thank you professor! This is the best class that I have taken. I learned a great deal. The Homeworks are very well designed, they clarifies most of the theories. Your choice of topics for the class are just immaculate.

[yaser]

Originally Posted by jain.anand@tcs.com

Thank you professor! This is the best class that I have taken. I learned a great deal. The Homeworks are very well designed, they clarifies most of the theories. Your choice of topics for the class are just immaculate.

You are very kind.