Problem
The construction time for a highway project depends on weather conditions. It is expected to take 240 days if the weather is dry and the temperature is hot. If the weather is damp and cool, the project is expected to take 320 days. Otherwise, it is expected to take 275 days. The historical data suggest that the probability of cool, damp weather is 35% and that of dry, hot weather is 40%. What is the project's probability distribution and expected completion time?
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.