Automobile repair costs continue to rise with the average cost now at $367 per repair.† Assume that the cost for an automobile repair is normally distributed with a standard deviation of $88. Answer the following questions about the cost of automobile repairs.
(a) What is the probability that the cost will be more than $470? (Round your answer to four decimal places.)
(b) What is the probability that the cost will be less than $230? (Round your answer to four decimal places.)
(c) What is the probability that the cost will be between $230 and $470? (Round your answer to four decimal places.)
(d) If the cost for your car repair is in the lower 5% of automobile repair charges, what is your maximum possible cost in dollars?
(Round your answer to the nearest cent.)