The ecologist sees an eagle with probability 0.2 during an hour of observation, a jackrabbit with probability 0.5, and both with probability 0.15.
Recall the ecologist observing eagles and rabbits. In each of the following cases, find the joint distribution, the marginal distributions, and the conditional distributions. Use the random variables E and J, where E = 0 represents seeing no eagle, E = 1 seeing an eagle, J = 0 seeing no jackrabbit, and J = 1 seeing a jackrabbit. Use graphs of the conditional distributions to help interpret the results.