This is the problem I was assigned in my homework:
I read in the textbook and believe that this method should be applied to solve the problem when dealing with 2 independent variables.
As a result, I've done so hand-written work and filled in the formula like this:
var(aX + bY) = 48^2 (1) + 6^2 (.0625)
However, as I have found incredibly weird and most likely wrong, the variance came out to be 2306.25, and thus the calculated standard deviation was 48.02. This seems wrong to me, but I can't lay my finger on it.
Explanation of variables and why I chose this formula
I'm on part A, and I calculated the expected amount of ice cream to be served in total to be 48 + 3 scoops of a mean of 2 oz each = 54 oz.
I went on to the second part of A, and came up with the formula above. Is there something wrong with how I set it up?
Edit: On Part B now
Expected value of ice cream being left in the box is: 48 - 2 = 46 oz. Variance formula: var(aX + bY) = 1^2 * 1 + 1^2 * .0625 = 1.0625 = 1.03