8. Suppose that a projectile is fired at an angle above the earth with a velocity...

8. Suppose that a projectile is fired at an angle θ above the earth with a velocity V.

Assuming that θ is an RV with PDF f (θ) =

⎧⎨

⎩

12

π

if

π

6

< θ<

π

4

, 0 otherwise, find the PDF of the range R of the projectile, where R = V2 sin2θ/g, g being the gravitational constant.