The control department of a light bulb manufacturer randomly picks light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is . When or more of the light bulbs in the sample of are defective, the control unit calls repair technicians for service. Required:
a. Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction.
b. Find the standard deviation of p.