Question

Suppose that contamination particle size (in micrometers) can be modeled as f(x)=9x-10 for 1x Determine the mean of X. Round your answer to 2 decimal places.

Answer 1

The mean of X is -6.5.

Step-by-step explanation:

The equation given is f(x) = 9x - 10 for 1 < x. To find the mean of X, we need to integrate the equation over the given range, and divide it by the range length. The range length is 1 minus the lower bound of x, which is 1 in this case. Therefore, the mean of X is:

Mean of X = (1/1) * integral(9x - 10, 1, 2) = (1/1) * (4.5x^2 - 10x) | (1, 2) = 13.5 - 20 = -6.5

So, the mean of X is -6.5.