In an article about the cost of health care, Money magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $328 (Money, January 2009). Assume that the cost for this type of hospital emergency room visit is normally distributed with a standard deviation of $92. Answer the following questions about the cost of a hospital emergency room visit for this medical service

. a. What is the probability that the cost will be more than $500?

b. What is the probability that the cost will be less than $250?

c. What is the probability that the cost will be between $300 and $400?

d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patients emergency room visit?