According to the U.S. Energy Information Administration, the mean monthly household electric bill in the U.S. in 2007 was $99.70 with a standard deviation of $20.Assume the amounts are normally distributed. In the winter bills can run higher than usual due to colder temperatures. To help customers cope with the higher costs in winter, an electric supplier offers a payment plan for customers with costs in the top 4% of all electric bills. What bill amount would a customer have to exceed to be offered the payment plan?

According to the U.S. Energy Information Administration, the mean monthly household electric bill in the U.S. in 2007 was $99.70 with a standard deviation of $20.Assume the amounts are normally distributed. What is the probability that a randomly selected bill is less than $110?