A survey showed that the average commuter spends about 26 minutes on a one-way door-to-door trip from home to work. In addition, 5% of commuters reported a one-way commute of more than one hour (Bureau of Transportation Statistics website, January 12, 2004).

a. If 20 commuters are surveyed on a particular day, what is the probability that 3 will report a one-way commute of more than one hour?

b. If 20 commuters are surveyed on a particular day, what is the probability that none will report a one-way commute of more than one hour?

c. If a company has 2000 employees, what is the expected number of employees who have a one-way commute of more than one hour?

d. If a company has 2000 employees, what is the variance and standard deviation of the number of employees who have a one-way commute of more than one hour?