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-   Chapter 1 - The Learning Problem (http://book.caltech.edu/bookforum/forumdisplay.php?f=108)
-   -   Exercise 1.10 (http://book.caltech.edu/bookforum/showthread.php?t=4474)

netweavercn 02-08-2014 11:12 PM

Exercise 1.10
Some questions about Exercises 1.10 and hope to verify what I did is correct.
(a) What is mu for the 3 coins selected?
mu1=5, mu_rand=5, mu_min (I don't know from beginning)
(b) repeat 10000 times
I got mu1=4.9968, mu_rand=5.0032, mu_min = 0.3704 (to my surprise it is so low, I think the reason might be in each 1024 coins, there might 1 coin is tail for 10 times continuously, then the number of head is 0)
(c) need do for each different mu?

any one can help explain what is multi-bin means here?

tatung2112 02-12-2014 09:38 PM

Re: Exercise 1.10
(a) Since mu is probability, I think:
mu1 = mu_rand = mu_min = 0.5 (all coins are fair)

(c) We can plot the graph for each mu at the same figure and see the difference

Rotimi 08-20-2015 04:05 PM

Re: Exercise 1.10
I have carried out the experiment but how do calculate mu, and plot it? Thanks

htlin 08-20-2015 06:34 PM

Re: Exercise 1.10

Originally Posted by Rotimi (Post 12001)
I have carried out the experiment but how do calculate mu, and plot it? Thanks

Do we really need to "calculate" \mu for a fair coin? :)

Rotimi 08-21-2015 02:41 PM

Re: Exercise 1.10
If the coin is fair, i think you don't because head or tail has equal probability

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