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The mean diameter of a ball bearing produced by a certain manufacturer is 0.80 cm with...

  1. The mean diameter of a ball bearing produced by a certain manufacturer is 0.80 cm with a standard deviation of 0.03 cm.  A sample of 36 ball bearings is randomly selected from a production run.
  1. What is the probability that the sample of ball bearings will have a mean of at most 0.815 cm?

                                                                                                                        

  1. What is the probability that the sample of ball bearings will have a mean more than 0.81 cm?
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