(Steps Shown) A scale is designed so that when items are weighed, the errors in the indicated weights are normally distributed with a mean 0g and a standard


Question: A scale is designed so that when items are weighed, the errors in the indicated weights are normally distributed with a mean 0g and a standard deviation 1g.

  1. If an item is randomly selected and weighed, that is the probability that it has an error between -0.5 g and 0.5g?
  2. If 16 items are randomly selected and weighed, what is the probability that the mean of errors is between -0.5g and 0.5g?
  3. What is the 90 th percentile for the errors?

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