the diameters of ball bearings produced in a manufacturing process can be described using a uniform distribution over the interval 6.5 tp 8.5 millimeters. what is the mean diameter of a ball bearings produced in this manufacturing process?
7.5 mm
To find the mean diameter of the ball bearings produced in this manufacturing process, we can use the properties of a uniform distribution.
In a uniform distribution, every value in the given interval has an equal probability of occurring. In this case, the interval is from 6.5 to 8.5 millimeters.
The mean, or average, of a uniform distribution is the midpoint of the interval. To find the midpoint, we need to calculate the average of the two endpoints.
Midpoint = (Endpoint 1 + Endpoint 2) / 2
Midpoint = (6.5 + 8.5) / 2
Midpoint = 15 / 2
Midpoint = 7.5
Therefore, the mean diameter of the ball bearings produced in this manufacturing process is 7.5 millimeters.