Final answer:
To determine the proportion of flanges exceeding 1.03 millimeters, divide the length of the interval above 1.03 millimeters (0.02 mm) by the total range of distribution (0.10 mm) which results in 0.20, or 20%.
Step-by-step explanation:
The question is concerning the determination of the proportion of aircraft component flanges that have a thickness exceeding 1.03 millimeters, given that the thickness is uniformly distributed between 0.95 and 1.05 millimeters. A uniform distribution implies that all values within the specified range are equally likely. To find the proportion of the flanges exceeding 1.03 millimeters, we consider the interval from 1.03 to 1.05 millimeters.
The proportion is the length of this interval divided by the total length of the distribution's range:
Proportion = (1.05 - 1.03) / (1.05 - 0.95)
Total range = 1.05 - 0.95 = 0.10 millimeters
Range above 1.03 millimeters = 1.05 - 1.03 = 0.02 millimeters
Proportion = 0.02 / 0.10 = 0.20 or 20%
Therefore, 20% of the flanges have a thickness exceeding 1.03 millimeters in this scenario.