The calculated value of the expected value of x is 6/7
How to determine the expected value of x
From the question, we have the following parameters that can be used in our computation:
The probability distribution
The expected value of x is calculated as
E(x) = Sum of x * P(x)
Using the above as a guide, we have the following:
E(x) = 0 * 16/49 + 1 * 24/49 + 2 * 9/49
This gives
E(x) = 0 + 24/49 + 18/49
Evaluate
E(x) = 42/49
Simplify
E(x) = 6/7
Hence, the expected value of x is 6/7