Suppose that on average, 1 gang-related shooting occurs every 12 hours in Los Angeles.
a. In a 24-hour day, how many shootings are expected?
b. Find the probabilities of 0, 1, 2, 3, 4, 5, and 6 gang related shootings occurring in a 24-hour day.
c. Which numbers of shootings have the highest probability of occurring? Why is this answer reasonable?
d. Suppose 10 shootings occur in a 24-hour day. Do you think that this could be a random occurrence? Use the probabilities you found to explain your reasoning.