The International Tennis Federation (ITF) establishes the specifications for tennis balls. The diameter of a tennis ball used in any tournament must be between 2.5 and 2.625 inches. Suppose that the diameter of a tennis ball is approximately Normal with mean 2.5625 and variance 0.0016.
What is the probability that a randomly selected tennis ball will meet ITF diameter specifications?
What is the 10th percentile of diameters? The 95th percentile?
Suppose six randomly selected tennis balls will be used in a tournament game. What is the
probability that exactly one will not meet ITF diameter specifications?