Question

QUESTION 3

A recent study shows that on average 21% of employees in the work population prefer their vacation time during March break. Vincent Company employs 55 people. Use the normal approximation to the binomial distribution to answer the questions below:

Required:

1. Determine the expected value, and the standard deviation of that value, of the number of Vincent Company employees who would prefer their vacation time during March break. ( 3 marks)
2. What is the probability that more than nine Vincent Company employees will prefer their vacation during March break? Sketch a normal curve and shade the desired area of your diagram. ( 4 marks)
3. What is the probability that exactly nine Vincent Company employees will prefer their vacation during March break? Sketch a normal curve and shade the desired area of your diagram.   ( 4 marks)
4. What is the probability that more than six, but less than ten, Vincent Company employees will prefer their vacation during March break? Sketch a normal curve and shade the desired area of your diagram.   ( 4 marks)

I need full explanation and calculation of the answer

Answer 1