A factory manufactures wooden squares of 4 square centimeters. Due to some manufacturing defect, the side length of the square varies uniformly between 1 cm and 3 cm.
Manager Bob wants to know how frequently the squares are smaller, i.e. less than 4 cm2 in area. He made the following observations:
- The area of the square to be manufactured next is a random quantity between 1 cm2 and 9 cm2.
- So, the probability that the area of the next square is less than 4 cm2 is 83.
Is Bob correct?