rug: 4 0| 4 5. (2 points each) A rough lumber mill cuts pine and hemlock lumber exact dimen-w ms. it is always out longer than specified. Thus, than 8 feet. e boards will not be smooth; thus, it will be a rough surface. The boards vary in extra length beth' i one and ve inches. The extra lengths are a uniform distribution. You take a sample of 30 boards from me lumber mill. to order. Rough lumber is not cut to if you buy an 8foot board it will be longer Deter nine the probability that the mean extra length for the 30 boards is less than 2 inches. Deters me the probability that the mean extra length for the 30 boards is more than 3.5 inches. Determine the probability that the mean extra length for the 30 boards is between 2.5\" and 4\". Determine the probability that the total extra length for the 30 boards is less than 80 inches. Deterr Joe the probability that the total extra length for the 30 boards is more than 105 inches. Determine the 80th percentile for the total extra length for the 30 boards. Determine the first quartile for the total extra length for the 30 boards. comma-99'.\