1 A roadway segment is 1000 ft long 10 stations 100 ft and t

1. A roadway segment is 1000 ft long (10 stations@ 100 ft) and the areas of cuts and fills for each station\'s cross section are given in the table below (columns 1,2 and 3 are given). a) Determine the net volume of cuts and fills by completing the following table. Attach all your calculations Draw the mass haul diagram (MHD) as accurately as you can (use graph paper if you wish) Compute the value of balance point stations for the MHD along the x-axis: 1) visually, and 2) by interpolation b) c) d) The free-haul distance in the highway construction contract is 340 ft and the over-haul price is$ 12/station -yd3. For the MHD you drew in section b, determine the extra compensation that must be paid to a contractor to balance the cut and fill between station 05+5Q and station 08+90

Solution

answered this

a)

P(F) = 0.18
P(S) = 0.89
P(F|S) = 0.15 [ANSWERS]

b)

P(F n S) = P(F|S) P(S) = 0.15*0.89 = 0.1335 [ANSWER]

**************

C)

P(S|F) = P(F n S)/P(F) = 0.1335/0.18 = 0.741666667 [ANSWER]

**************

d)

P(M|S) = 1 - P(F|S) = 1 - 0.15 = 0.85 [ANSWER]

******************

e)

As

P(F|S) = 0.15 =/= P(F), then NO, THEY ARE NOT INDEPENDENT.

*****************

f)

As

P(F n S) =/= 0, then NO, THEY ARE NOT MUTUALLY EXCLUSIVE.