Step 1 :Given that the mean, denoted as \( \mu \), is 5.2 and the standard deviation, denoted as \( \sigma \), is 1.4.
Step 2 :We are asked to evaluate the expression \( \mu + 2\sigma \).
Step 3 :Substitute the given values into the expression to get \( 5.2 + 2*1.4 \).
Step 4 :After performing the calculation, we find that \( \mu + 2\sigma = 8.0 \).
Step 5 :So, the value of \( \mu + 2\sigma \) when \( \mu = 5.2 \) and \( \sigma = 1.4 \) is \(\boxed{8.0}\).