If [tex]P(q_1,q_2)[/tex] is probability distribution for two random variables [tex]q_1,q_2[/tex], let us define(adsbygoogle = window.adsbygoogle || []).push({});

[tex]q=\frac{q_1+q_2}{2}[/tex]

Probability distribution for q is then

[tex]P'(q)=\int dq_1dq_2\delta (q-\frac{1}{2}(q_1+q_2)P(q_1,q_2)=\langle \delta (q-\frac{1}{2}(q_1+q_2) \rangle_P [/tex]

Why?

What is label [tex]\langle \cdot \rangle_P[/tex] exactly?

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

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!

# Distribution question

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