we found the expected value of the number of surviving birds in a flock of 10 that is shot at by a group of 5 hunters, each with a shooting average of 0.5. Find the variance of the number of surviving birds. (Hints: If the number of surviving birds is W, find the expected value of W2 and then use Theorem to get ^{2 _w}. Again use a binary random variable X_k to indicate the survival probability of the k^th bird. Since these are binary, we can also assert that X² _k = X_k and that the probability of survival of both birds i and j is E[X_iX_j].) You should get a variance of 1.00822, but the important thing is to show correct reasoning and process of getting the answer.