- #1

newbiewannabe

- 5

- 0

## Homework Statement

As the title indicates. I'm given two independent exponential distributions with means of 10 and 20. I need to calculate the probability that the sum of a point from each of the distributions is greater than 30.

## Homework Equations

X is Exp(10)

Y is Exp(20)

f(x) = e^(-x/10) / 10

g(y) = e^(-x/20) / 20

## The Attempt at a Solution

I think I need to find the distribution of X + Y and then integrate to find the cdf. I'm not sure how to go about that though.