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Calculation of a most probable value based on multiple probability distributions

We want to solve a problem like this one:

Random Variable: Number of hairs on the head of a person
Probability Distribution 1: Number of hairs depending on gender
Probability Distribution 2: Number of hairs dependent on age
Probability Distribution 3: Number of hairs dependent on hair color

Now I want to calculate the most  expected value for the number 
of hairs for a 34 years old, blonde woman. 

I have tried to solve the problem with SPSS but I could not. Which software is able to solve such problems?

PS. if you understand the problem and know the name of the software, I would be very grateful for your answer. Corrections to the question and theoretical controversies are unnecessary.

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marked as duplicate by leonbloy, t.b., Henry, Dilip Sarwate, Zev Chonoles Jun 6 '12 at 19:55

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

Also, when you do, please be sure to explain what you've tried so far... Forgot this piece of the advice you received on the other page? –  Did Jun 4 '12 at 13:59
uh.... as I recall, this is the first redaction of this question: math.stackexchange.com/questions/142665/… i guess it's the same user? –  leonbloy Jun 4 '12 at 14:12
-1 for "Corrections to the question and theoretical controversies are unnecessary." –  Dilip Sarwate Jun 6 '12 at 10:54

1 Answer 1

R, Stata, MATLAB, and good ol' computation by hand are all capable of performing this calculation.

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