Use the joint probability distribution table provided below to answer the following questions. Pizza Slices Consumed (X) Soda Consumed (Y) Total f(Y XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXXTotal...


Use the joint probability distribution table provided below to answer the following questions. Pizza Slices Consumed (X) Soda Consumed (Y) Total f(Y) 1 2 0 0.03 0.33 0.10 0.20 1 0.09 0.33 0.12 0.12 2 0.19 0.08 0.34 0.07 Total f(X) 0.31 0.30 0.39 1 a. What is the marginal probability of consuming 2 slices of pizza? 2 sodas? b. Calculate the average number of pizza slices consumed E(X) c. Calculate the average number of pizza slices consumed for those who drank 2 sodas E(XIY 2) d. Do you think the two variables are independent? Explain e. Calculate the covariance between pizza and soda cov(X,Y). What does the sign imply?

Aug 18, 2022
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