Assignment:
Companies often make flextime scheduling available to help recruit and keep women employees who have children at home. Other workers sometimes view these flextime schedules as unfair. An article in Nikkei Article indicated that 5% of male employees state that they have to pick up the slack for moms working flextime schedules. Suppose you elect a random sample of 100 male employees working for companies offering flextime.
a. What is the probability that 30% or fewer male employees will indicate that they have to pick up the slack for mom's working flextime?
b. What is the probability that 20% or fewer male employees will indicate that they have to pick up the slack for mom's working flextime?
c. If a random sample of 500 is taken, how does this change your answer to (a) and (b)?
Provide complete and step by step solution for the question and show calculations and use formulas.