Answer:
E(5X) = 10
Step-by-step explanation:
The expected value of a random variable X is denoted as; E(X)
Now we are told it's equal to 2.
Thus;
E(X) = 2
Now, we want to find the expected value of 5X
We will use the principle from expected value derivations below;
E(cX + d) = cE(X) + d
Also;
If E(X) = z
Then;
E(aX) will give; aE(X) = az
From our question, we have;
E(X) = 2
Thus;
E(5X) = 5E(X) = 5 × 2 = 10
