(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

Best regards,

Niles.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Bayesian probability: The lighthouse problem

**Physics Forums | Science Articles, Homework Help, Discussion**