The average price of cell phones manufactured by Ahmadi, Inc. is $96 with a standard deviation of $12. Furthermore, it is known that the prices of the cell phones manufactured by Ahmadi are normally distributed. (You may need to use the appropriate appendix table or technology to answer this question.)

(a)What percentage of cell phones produced by Ahmadi, Inc. will have prices of at least $115.20? (Round your answer to two decimal places.) %

(b)Cell phones with prices of at least $81.60 will get a free gift. What percentage of the cell phones will be eligible for the free gift? (Round your answer to two decimal places.) %

(c)What are the minimum and the maximum values (in dollars) of the middle 95% of cell phone prices? (Round your answers to two decimal places.)

minimum$ ?

maximum$ ?

(d)If 17,960 of the Ahmadi cell phones were priced at least $111.00, how many cell phones were produced by Ahmadi, Inc.? (Round your answer to the nearest integer.)