5. The mean cholesterol level in US children is 175 mg/dL with a standard deviation of 35 mg/dL. Although the level in US children varies from child to child, the distribution for all US children has a normal distribution. Use the 68-95- 99.7 rule to answer the following. Answer a) What percent of children have a cholesterol level that is between 70 mg/dL and 280 mg/dL? b) What percent of children have a cholesterol level that is between 105 mg/dL and 210 mg/dL. In a group of 750 children, how many do you expect to have a cholesterol level between 105 mg/dL and 210 mg/dL? c) What percent of children have a cholesterol level that is more than 175 mg/dL? In a group of 750 children, how many do you expect to have a cholesterol level above 175 mg/dL? d) What percent of children have a cholesterol level that is between 210 mg/dL and 280 mg/dL? e) What percent of children have a cholesterol level that is between 140 mg/dL and 245 mg/dL? In a group of 750 children, how many do you expect to have a cholesterol level between 140 mg/dL and 245 mg/dL?4. Healthy domesticated kittens have an average weight of 24.5 ounces with a standard deviation of 5.25 02. The distribution is normal. Use the 68-95-99.7 rule to answer the following. dl What percent of healthy domesticated kittens have a weight that is between 24.5 02. and 40.25 02.? What percent of healthy domesticated kittens have a weight that is between 14 oz. and 35 02.? What percent of healthy domesticated kittens have a weight that is less than 19.25 o2.? If we have a group of 250 kittens, how many of the 250 kittens can we expect to have a weight of less than 19.25 02.? What percent of healthy domesticated kittens have a weight that is less than 8.75 02.? If we have a group of 250 kittens, how many of the 250 kittens can we expect to have a weight of less than 8.75 02.? What percent of healthy domesticated kittens have a weight that is between 3.75 oz. and 29.75 02.? If we have a group of 250 kittens, how many ofthe 250 kittens can we expect to have a weight that is between 8.15 oz. and 29.75 02.? Answer 2. When robin eggs are weighed, it turns out that the weights have a normal distribution with a mean of 17.5 mg and a standard deviation of 3.5 mg. Use the 6895997r rule to answer the following. Answer a} What percent of robin eggs have a weight that is between 10.5 mg and 17.5 mg? b] What percent of robin eggs have a weight that is between 7 mg and 10.5 mg? c} What percent of robin eggs have a weight that is more than 28 mg? d] What percent of robin eggs have a weight that is between 21 mg and 28 mg? e} What percent of robin eggs have a weight that is between 14 mg and 21 mg? 3. A forest product company claims that the amount of usable lumber in harvested trees averages 172 cubic feet and has a standard deviation of 12.4 cubic feet. Assume the distribution have a normal distribution. Use the 68-95-997 rule to answer the following. Answers a] When trees are harvested, what percent of trees contain more than 159.6 cubic feet of usable lumber? bl When trees are harvested, what percent of trees contain less than 122 cubic feet of usable lumber? c} of 2000 harvested trees, how mam,r do we expect to have between 142.2 and 196.8 cubic feet of usable lumber? d] When trees are harvested, what percent of trees contain less than 209.2 cubic feet of usable lumber? e} of 2000 harvested trees, how manlyr do we expect to have between 134.8 and 184.4 cubic feet of usable lumber