- #1
Niles
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Homework Statement
Hi all.
Please take a look at this problem: http://web.gps.caltech.edu/classes/ge193/practicals/practical3/Lighthouse.pdf [Broken]
I am stuck at question 2 and 3. For question 1 I get the following:
[tex]
d_k = \beta \tan(\theta_k)+\alpha.
[/tex]
For question 2 and 3, I know I have to use Bayes' sentence for probability density functions (PDF's), so for question 2 I get:
[tex]
p(\theta_k\,\, |\,\, \alpha, \beta) = \frac{p(\alpha,\beta\,\,|\,\,\theta_k)\pi^{-1}}{C},
[/tex]
where C is some constant that normalizes the PDF and I have assumed that the prior probability on [itex]\theta_k[/itex] is [itex]\pi^{-1}[/itex] (I was told to do this).
Could you guys tell me, what the next step is?
Thanks in advance.
Niles.
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