A consultant is beginning work on three projects. The expected profits from these projects are $ 43 thousand, $ 60 thousand, and $ 21 thousand respectively. The associated standard deviations are $ 13 thousand, $ 20 thousand, and $ 5 thousand respectively. Answer the following, rounding your answers to two decimal places.
(a) Assuming independence of outcomes, find the mean (in thousands of $) of the consultant's total profits from these three projects.
(b) Assuming independence of outcomes, find the standard deviation (in thousands of $) of the consultant's total profits from these three projects.