Question
If X is a random variable, what would the mean of Y be if Y=X+2
Answers
GPT 3.5
If X is a random variable, then to find the mean of Y when Y = X + 2, we can use the property of linearity of expectation.
The mean of Y is given by E(Y) = E(X + 2)
Using the property of linearity of expectation, we have E(Y) = E(X) + E(2)
The mean of a constant (in this case, 2) is simply the constant itself, so E(2) = 2.
Therefore, E(Y) = E(X) + 2.
The mean of Y is given by E(Y) = E(X + 2)
Using the property of linearity of expectation, we have E(Y) = E(X) + E(2)
The mean of a constant (in this case, 2) is simply the constant itself, so E(2) = 2.
Therefore, E(Y) = E(X) + 2.