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According to Glassdoor, the average base salary for a brand manager in Bethlehem, PA, is $88,592...

According to Glassdoor, the average base salary for a brand manager in Bethlehem, PA, is $88,592 and the average base salary for a brand manager in New York City, NY is $97,417. Assume that salaries are normally distributed, the standard deviation for brand managers in Bethlehem is $19,000, and the standard deviation for brand managers in New York is $21,000.

  1. What is the probability that a brand manager in Bethlehem has a base salary in excess of $100,000?
  2. What is the probability that a brand manager in New York has a base salary in excess of $100,000?
  3. What is the probability that a brand manager in New York has a base salary of less than $75,000?
  4. What is the probability that a brand manager in New York has a base salary of less than $75,000?
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