The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.94 hours and standard deviation of 0.17 hours. Calculate the probability of each of the following:

1. 1. A random movie is between 1.8 and 2.1 hours.
   2. A movie is longer than 2.3 hours.
   3. The length of movie that is shorter than 86% of the movies.

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