Ignore the third immigrant, species and suppose that species 1 and species 2 arrive independently.
a. Give the joint probability distribution for species 1 and species 2.
b. Find the probability of each possible number of immigrants.
c. Find the expected number of immigrants of each of these two species and compare with the sum of the expected numbers.
d. Find the variance in the total number of immigrants and compare with the sum of the variances.
Suppose annual immigration into a park by three species follows the probabilities in the table.

Transcribed Image Text:

Number of Immigrants Species 1 0.3 0.6 0.1 Species 2 0.6 0.2 0.2 Species 3 0.1 0.3 0.6