Question

QUESTION 2  

According to Michael Theatre Ltd., the mean cost to run a nightly theatre performance is $3,200 with a standard deviation of $460. Performance costs are known to follow a normal probability distribution.

Required:

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

2. What percentage of the performances will cost between $3,250 and $3,520 to run? Sketch a normal curve and shade the desired area of your diagram. ( 4 marks)

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

4. What percentage of the performances will cost less than $3,750 to run? Sketch a normal curve and shade the desired area of your diagram. ( 4 marks)

5. Six percent (6 %) of all shows will cost less than what dollar amount? Sketch a normal curve and shade the desired area of your diagram. ( 4 marks)

Answer 1