The weight of mechanically produced items at a manufacturing…
The weight of mechanically produced items at a manufacturing facility are normally distributed, with a mean of 1152 pounds and a standard deviation of 23 pounds. (Round z-scores to 2 decimal places and all else to 3 decimal places.) a. What is the Z-score for an item weighing 1146 pounds? b. Find the probability that a randomly selected item weighs less than 1146 pounds. c. Find the weight that represents the 57th percentile. d. Find the probability that a randomly selected item weights between 1100 pounds and 1146 pounds.