In an article regarding the cost of health care, Money magazine reported that visit to a hospital emergency room for something as simple as a sore throat has mean cost of $328 (Money, January 2009). Suppose that the cost for this kind of hospital emergency room visit is normally distributed with the standard deviation of $92. Answer the following questions regarding the cost of hospital emergency room visit for this medical service.
a- Determine the probability that the cost will be more than $500?
b- Compute the probability that the cost will be less than $250?
c- Determine 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 patient's emergency room visit?