If two loads are applied to a cantilever beam as shown in th

If two loads are applied to a cantilever beam as shown in the accompanying drawing, the bending moment at 0 due to the loads is

a₁X₁ + a₂X₂.

(a) Suppose that X₁ and X₂ are independent rv\'s with means 4 and 8 kips, respectively, and standard deviations 1.0 and 2.0 kip, respectively. If

a₁ = 9 ft

and

a₂ = 18 ft,

what is the expected bending moment and what is the standard deviation of the bending moment? (Round your standard deviation to three decimal places.)

A_i\'s

and

X_i\'s

Corr(X₁, X₂) = 0.5

expected bending moment	kip-ft
standard deviation	kip-ft

Solution