Question

Sialkot-Soccer (SS) has been in the business of manufacturing, distributing, and marketing soccer related products for over 10 years. One aspect of their business that is critical is ensuring the specifications of their professional class balls. One element of concern is the diameter of a soccer ball. If the ball is too big or small, regulators will not allow it to be used and fines will be issued. The diameter of soccer balls manufactured at Sialkot-Soccer (SS)’s Canadian manufacturing house, is expected to be normally distributed with a mean of 7.88 inches and a variance of 0.0081 inch².  

(a) What is the probability that a randomly selected soccer ball will have a diameter of over 7.90 inches?

(b) What is the probability that a randomly selected soccer ball will have a diameter between 7.75 and 7.92 inches?

(c) What is the probability that a random selection of 5 soccer balls will have a diameter less than 8 inches?

(d) What is the probability that a randomly selected soccer ball will have a diameter exactly 7.65 inches?

(e) Sialkot-Soccer (SS) also manufacturing golf balls. The diameter of golf balls manufactured at Sialkot-Soccer (SS)’s Alberta manufacturing plant, is expected to be uniformly distributed between 4.45 and 5.25 inches. What is the probability that a randomly selected golf ball will have a diameter between 4.50 and 5.10 inches?

Answer 1