QUESTION 2Â Â
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:
- 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)
- 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)
- 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)
- 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)
- 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)
