A file cabinet manufacturer estimates that 5% of its file cabinets will have drawers that close improperly. Assume a production run of 120 cabinets is completed.
a. What is the mean and standard deviation of this distribution?
b. What is the probability that 7 or more are defective?
c. What is the probability that exactly 7 cabinets are defective?
d. What is the probability that there are more than 8 defective file cabinets?