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QUESTION 2   According to Michael Theatre Ltd., the mean cost to run a nightly theatre performance...

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Statistics

QUESTION 2  

According to Michael Theatre Ltd., the mean cost to run anightly theatre performance is $3,100 with a standard deviation of$440. Performance costs are known to follow a normalprobability distribution.

Required:

  1. What percentage of the performances will cost less than $2,850to run? Sketch a normal curve and shade the desired area on yourdiagram. ( 4 marks)

  1. What percentage of the performances will cost between $3,150and $3,520 to run? Sketch a normal curve and shade the desired areaof your diagram. ( 4 marks)
  1. What percentage of the performances will cost between $2,300and $3,520 to run? Sketch a normal curve and shade the desired areaon your diagram. ( 4 marks)

  1. What percentage of the performances will cost less than $3,750to run? Sketch a normal curve and shade the desired area of yourdiagram. ( 4 marks)
  1. Six percent (6 %) of all shows will cost less than what dollaramount? Sketch a normal curve and shade the desired area of yourdiagram. ( 4 marks)

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