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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.
1978_Conditional Probability.jpg

[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?

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