A mobile platform carries boxes from all over a warehouse to a loading area. The weight that the platforms can support w

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A mobile platform carries boxes from all over a warehouse to a
loading area. The weight that the platforms can support without
breaking is normally distributed with a mean of 1089 lbs and a
standard deviation of 166 lbs.

a. Calculate the z-score for a mobile platform that breaks under a
1485.74 pound load. Round your answers to 2 decimal
places.

b. Find the probability that a randomly selected platform has a
breaking point between 1001.02 and 1112.24. Round your answer to 4
decimal places.

c. The warehouse portions loads so that fewer than 5% of the
platforms will break. What is the maximum load they should put on a
platform? Round your answer to the nearest whole number.