Question

 

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. 
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. 
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. 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. 

Answer 1