Manufacturing and Product Development Flatpanel TV displays in televisions and computer monitors often develop dead pixels, pixels that become locked in one state-for example, red at all times. Manufacturers maintain that dead pixels are a natural defect and there are various return policies after the discovery of a dead pixel. Suppose the mean number of dead pixels in a new Samsung 64-inch plasma TV is 2.5. One of these TVs is randomly selected and inspected for dead pixels.
a. What is the probability that there will be no dead pixels?
b. If the number of dead pixels is more than μ + 3σ, the assembly line is automatically stopped and examined. What is the probability that the assembly line will be stopped?
c. What is the probability that the number of dead pixels will be within two standard deviations of the mean?