Flag question: Question 1 Question 13 pts A popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams. Use the Empirical Rule to answer. 1. The middle 95% of people would receive bags between what weights? 990 ,1090 2. What proportion of customers would receive bags weighing at least 990 grams? 95.5% Flag question: Question 2 Question 21 pts The average adult male is (approximately) = 70 inches in height, and we will use a standard deviation of = 5 inches. What is the z-score for a man 77 inches in height? 1.4 Flag question: Question 3 Question 31 pts A particular brand of tires lasts an average of 40000 miles with a standard deviation of 3000 miles. What is the probability a tire selected at random lasts more than 42,000 miles? 0.1885 Flag question: Question 4 Question 41 pts Each month, an American household generates an average of 28 pounds of plastic for garbage or recycling. Assuming the standard deviation is 2 pounds. If a household is selected at random, find the probability of its generating less than 25 pounds per month. 78