Faschip, Ltd., is a new African manufacturer of notebook computers. Their quality target is that 99.999% of the computers they produce will perform exactly as promised in the descriptive literature. In order to monitor their quality performance they include with each computer a large piece of paper that includes a direct-toll-free-phone number to the Senior Vice President of Manufacturing that can be used if the computer does not perform as promised. In the first year Faschip sells 1,000,000 computers.
a. If they are achieving their quality target, what is the probability that they will receive fewer than 5 calls? If this occurs what would be a reasonable conclusion about their quality program?
b. If they are achieving their quality target, what is the probability that they will receive more than 15 calls? If this occurs, what would be a reasonable conclusion about their quality program?