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QUESTION 3 A recent study shows that on average 20% of employees in the work population...

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Statistics

QUESTION 3

A recent study shows that on average 20% of employees in thework population prefer their vacation time during March break.Vincent Company employs 56 people. Use the normalapproximation to the binomial distribution to answer thequestions below:

Required:

  1. Determine the expected value, and the standard deviation ofthat value, of the number of Vincent Company employees who wouldprefer their vacation time during March break. ( 3marks)

  1. What is the probability that more than ten Vincent Companyemployees will prefer their vacation during March break? Sketch anormal curve and shade the desired area of your diagram. (4 marks)
  1. What is the probability that exactly ten Vincent Companyemployees will prefer their vacation during March break? Sketch anormal curve and shade the desired area of your diagram.  ( 4 marks)
  2. What is the probability that more than five, but less thannine, Vincent Company employees will prefer their vacation duringMarch break? Sketch a normal curve and shade the desired area ofyour diagram.   ( 4 marks)

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