I have some homework that I must do, and I have figured out about half of it, but the other half is a complete mystery. I understand the theorems tied to these problems, but cannot do them for some reason or another.(adsbygoogle = window.adsbygoogle || []).push({});

Probability distribution for RV X is given by

f(x) = { 1/5 for 2 < x < 7; 0 elsewhere

find P(3 < X < 5) as a fraction.

also,

Show that f(x) = 3x^2 for 0 < x < 1

find P(0.1 < X < 0.5) as a decimal

also,

Probability density for RV Y is given by

f(y) = { 1/8(y+1) for 2 < x < 4; 0 elsewhere

find P(Y < 3.2) and P(2.9 < 3.2) to four decimal places

also,

find value of k for:

f(z) = {kze^-z^2 for z > 0; 0 for z <= 0

also,

find P(X < 1/4) and P(X > 1/2) for

g(x) = {6x(1-x) for 0 < x < 1; 0 elsewhere

I really understand that this is a lot, but I honestly need help with these, and I have no idea how to answer them at all. Help with any of them would be much appreciated. Thank you very, very much!!!

**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!

# Homework Help: Probability Distribution and Density help

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

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