A consultant is beginning work on three projects. The expected profits from these projects are $ thousand, $ thousand, and $ thousand respectively. The associated standard deviations are $ thousand, $ thousand, and $ 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.