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Problem Solving. Solve the following problems. Show all pertinent solutions. No immediate rounding. Round off final answers to three decimal places. 1. An electrical firm manufactures incandescent light bulbs that have a length of life {in hours) that is normally distributed. If the mean and standard deviation length of life of all lightbulbs produced are 1250 hours and 300 hours respectively, find the probability that a randomly selected bulb will last less than 1 100 hours? 2. Studies show that gasoline use for cars is normally distributed, with a mean of 25.5 miles per gallon (mpg) and a standard deviation of 4.5 mpg. What percentage of compacts get A. less than 24 mpg? B. 30 mpg or more? C. between 20 and 28