Thickness measurements of a coating process are made to the nearest hundredth of a millimeter. The thickness measurements are uniformly distributed with values 0.15, 0.16, 0.17, 0.18, and 0.19. Determine the mean and variance of the coating thickness for this process.
Solution 78E
Step1 of 3:
Let us consider a random variable X it presents thickness measurements of a coating process.
And the thickness measurements are Uniformly distributed with values 0.15, 0.16, 0.17, 0.18, and 0.19.
We need to determine the mean and variance of X.
Step2 of 3:
Suppose that a random variable X follows discrete Uniform distribution with parameters [a, b]. Then, the probability mass function of Uniform distribution is given by:
x = 0,1,2,...,n.
We know that mean of Uniform distribution, and it is given by:
Therefore, Mean of X is 0.17 mm.
Step3 of 3:
We know that Variance of Uniform distribution, and it is given by:
Therefore, Variance of X is 0.0068.
