Problem 3. The Central Bank of a country projects 3 possible scenarios for the country's economic development in 2020. For each scenario, the Central Bank estimates its probability and estimates the relative changes of the country's GDP and national debt if this scenario takes place. Scenario Scenario's probability GDP National debt Negative 0.2 6% +2% Neutral 0.4 +1% no change Positive 0.4 +2% 1% For this model, let X denote the relative change of the GDP and Y denote the relative change of the national debt. Find the correlation coefcient of X and Y