The weighs of children that are 12 years old are normally distributed with a mean of 75 pounds and a standard deviation of 15 pounds. Show all work to determine the following:
- Find the probability that a 12-year-old weighs between 50 and 80 pounds.
- Determine the weight for which fourteen percent of 12-year-olds weigh that or more.
- Ten percent of 12-year-olds weigh no more than what weight?