Question: The following shows the conditional distribution of the daily number of accidents at a given intersection during the winter months, X2, given the amount of snowfall [in inches] for the day, X1. The marginal distribution of X1 is also provided in the bottom row of the table.
[A] Find the probability of observing at least two accidents at this intersection on a randomly selected winter day on which the snowfall is at least 3 inches?
[B] Find the probability of observing less than 4 inches of snowfall on a randomly selected day in this area?
[C] Are X1 and X2 independent random variables? Explain why or why not.
[D] Find the probability of observing no accidents at this intersection on a winter day with no snowfall?