Problem
1. In an industrial setting, process steam has been found to be normally distributed with an average value of 25,000 pounds per hour. There is an 80% probability that steam flow lies between 20,000 and 30,000 pounds per hour. What is the variance of the steam flow?
2. Suppose that a random variable (e.g., market value for a piece of equipment) is normally distributed, with mean = $175 and variance = 25$2. What is the probability that the actual market value is at least $171?
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.