Sport and Leisure
According to Major League Baseball rules, a baseball should weigh between 5 and 5.25 ounces and have a circumference of between 9 and 9.25 inches. Suppose the weight of a baseball (in ounces) has a uniform distribution with a = 5.085 and b = 5.155, and the circumference (in inches) has a uniform distribution with a = 9.0 and b = 9.1.
a. Find the probability that a randomly selected baseball has a weight greater than 5.14 ounces. Write a Solution Trail for this problem.
b. Find the probability that a randomly selected baseball has a circumference less than 9.03 inches.
c. Suppose the weight and the circumference are independent. Find the probability that a randomly selected baseball will have a weight between 5.11 and 5.13 ounces and a circumference between 9.04 and 9.06 inches.