3- The following table represents gas well completions during 1986 in North and South America. Source: American Gas Association, 1987 Gas Facts, p. 50. D D' Dry Not Dry N North America 14,131 31,575 45,706 N' South America 404 2,563 2,967 14,535 34,138 48,673 Draw a Venn diagram that summarizes the information in the table. Identify the region of the Venn diagram that represents (N and D). Identify the region of the Venn diagram that represents (N' and D'). Identify the region of the Venn diagram that represents (N or D). Identify the region of the Venn diagram that represents (N' or D'). Q4- For the data given above in Q3, Calculate P (D or N). P(D' or N') P(D or N') P(D' or N) Q5- A consultant has presented his client with three alternative research studies that could be conducted. If the client chooses alternative a, the consultant will have to hire 1 additional employee. Two new employees will have to be hired if the client chooses b, and 5 if the client chooses c. The probability that the client will select alternative a is 0.1, with P (b) = 0.5 and P(c) = 0.4. Identify the discrete random variable in this situation and determine its expected value and variance