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Please don't round or give in fractions

A furniture company wants to know what percent of their customers are satisfied with the furniture they purchase. The company surveys 137 customers to gather feedback. Suppose that, in reality, 93% of all customers are satisfied with their purchase.
 
   1. How are the collection of all sample proportions of samples of size 137 distributed?
       N (______,______)
 
   2. What is the probability that fewer than 90% of those surveyed are satisfied with their purchase?
  • List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. __________
  • There is __________ a chance that fewer than 90% of those surveyed are satisfied with their purchase.
 
   3. What is the probability that more than 94% of those surveyed are satisfied with their purchase?
  • List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma.
  • There is a chance that more than 94% of those surveyed are satisfied with their purchase.
   4. What is the probability that between 90% and 94% of those surveyed are satisfied with their purchase?
  • List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma.
  • There is a chance that between 90% and 94% of those surveyed are satisfied with their purchase.

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