Final answer:
The average thickness of flanges greater than 1.02 is 1.035, calculated by taking the midpoint of the interval from 1.02 to 1.05 for a uniform distribution.
Step-by-step explanation:
The question is asking for the average thickness of flanges that are greater than 1.02, given they are uniformly distributed between 0.95 and 1.05.
Since the distribution is uniform, the probability density function is constant across the range of values. For a uniform distribution range from a to b, the probability density function is 1/(b-a); the average value or mean of any segment within the distribution range is simply the midpoint of that segment.
Therefore, to find the average thickness of the flanges greater than 1.02, we take the midpoint of the interval from 1.02 to 1.05. This is calculated as (1.02 + 1.05)/2 = 1.035. Hence, the average thickness of flanges greater than 1.02 is 1.035.