Answer to Question #304244 in Statistics and Probability for Dani

Question

Each month, a Filipino household generates an average of 30 pounds of garbage for recycling. Assume that the distribution is normal with a standard deviation of 2 pounds. If a household is selected at random, find the probability of its generating more than 34 pounds per month. *

Answer 1

$P(X>34)=P(Z>\frac{34-30}{2})=P(Z>2)=1-P(Z<2)=0.0228.$