A construction firm places bids on various portions of the work in building a new office tower. The key bids it submits
are for electrical work and for plumbing. The bid for the electrical work estimates 64 weeks of labor (e.g., 1 electrician
for 64 weeks or 8 for 8 weeks). The bid for the plumbing estimates 120 weeks of labor. Standard deviations for these
estimates are 6 weeks for electrician work and 15 week for plumbing. The correlation between the weeks of labor for
electrical work and plumbing is 0.7. 19. The firm earns a profit of HKD20 per week of electrical work and a profit of
HKD30 per week of plumbing work. The expected profits and the standard deviation of those profits from this contract
is:
