Poisson Process Homework: Chance of Mushrooms in One Yard

[brcole]

Homework Statement

If you find a mushroom, what is the chance that at least one more will be within one yard from it ? What is the chance that there is exactly one mushroom within the distance one yard from the point you stay? The mushrooms grow in a forest randomly , with density 0.5 square yard

Homework Equations

The Attempt at a Solution

A = 0.5 * (1squared * pi) 0.5pi ,
0.5pi* e(-.5 pi)

 

[HallsofIvy]

Homework Statement

If you find a mushroom, what is the chance that at least one more will be within one yard from it ? What is the chance that there is exactly one mushroom within the distance one yard from the point you stay? The mushrooms grow in a forest randomly , with density 0.5 square yard

Homework Equations

The Attempt at a Solution

A = 0.5 * (1squared * pi) 0.5pi ,
0.5pi* e(-.5 pi)

I have no idea what this is supposed to mean. Since you titled this "Poisson Process", what IS the Poisson probability distribution?