Sports and Leisure
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 the diameter of a tennis ball is approximately normal with mean 2.5625 inches and standard deviation 0.04 inch.
a. What is the probability that a randomly selected tennis ball will meet ITF diameter specifications?
b. Suppose six tennis balls will be used in a tournament game. What is the probability that exactly one will not meet ITF diameter specifications? Assume independence.