SDL Challenge Problem

How to Participate:

  1. Solve the provided problem.
  2. Submit your answer by sending a written solution with all work shown to the EMRC at emrc@usu.edu. Please include your name and your A-number with your submission.
  3. Submissions will be graded by a Space Dynamics Employee.

Challenge Problem: Probability of Catching Fruit

Given: Ripe fruit falls from a tree with a bivariate Gaussian distribution described by a covariance matrix C. A circular basket of radius R is placed at a location (x,y) from the center of the tree.

Find: If one fruit falls, what is the probability that it will land in the basket? If n fruits fall, what is the probability that one of them will fall in the basket?

SDL Challenge Problem

Notes: The math principles encapsulated in this problem directly apply to a real-world counter-UAS engineering application currently under development at the Space Dynamics Laboratory. Problem supplied by Morgan Davidson, Distinguished Engineer, Space Dynamics Laboratory.