(Solved): Consider the following contingency table. a. Convert the contingency table into a joint probabil ...

Consider the following contingency table. a. Convert the contingency table into a joint probability table. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) b. What is the probability that $$A$$ occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) c. What is the probability that $$A$$ and $$B$$ occur? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) d. Given that $$B$$ has occurred, what is the probability that $$A$$ occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) e. Given that $$A^C$$ has occurred, what is the probability that $$B$$ occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) ssume that $$X$$ is a Poisson random variable with $$?=10$$. Calculate the following probabilities. (Do not round termediate calculations. Round your final answers to 4 decimal places.)