Computing the probability values using normal distribution.
Each month, an American household generates an average of 28 pounds of garbage for recycling. Assume the variable is normally distributed with a standard deviation of 1.9 pounds.
1. If a household is selected at random, find the probability that it generates less than 30.2 pounds of garbage for recycling.
2. Find the percentage of homes that generate between 27 and 31 pounds of recycling per month.