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## Homework Statement

The density function for the number of times the riders scream on a roller coaster is given by ...

f(x) = [tex]\frac{1}{3\pi}[/tex](1 - cos(2x)) if 0 [tex]\leq[/tex] x [tex]\leq[/tex] 3[tex]\pi[/tex]

and 0 otherwise.

Find the mean number of screams over the course of the ride.

The answer: 4.71238898038

## Homework Equations

None, unless integration is done by hand, in this case it doesn't have to be.

## The Attempt at a Solution

I tried taking a several different integrals and never got close to that answer. I tried taking the integral of that function from 0 to 3[tex]\pi[/tex], I tried putting an x in front of the function, I had it read in degrees and radians, i took out the 1/3pi at the start...just anything I could think of and nothing was close to the answer. Help?