Homework (1)
A construction site is needed to be excavated and prepared for the next stage of a project.
That work requires haul trucks to transport the excavated materials.
X is the number of haul trucks working at the construction site.
Y is the number of the days the haul units can finish the job.
Marginal probability mass function of X and Y:
p
(
x
)
=P
(
X=x
)
=∑
yj=5
10
p(x , y j)
p
(
y
)
=P
(
Y=y
)
=∑
xi=1
6
p(xi, y )
Marginal PMF of X:
p
(
1
)
=P
(
X=1
)
=∑
yj=5
10
p
(
1, y j
)
=0+0+0.009+0.005 +0.0021+0.075=0.0911
p
(
2
)
=P
(
X=2
)
=∑
yj=5
10
p
(
2, y j
)
=0+0.002+0.0035 +0.0058 +0.004 +0.0032=0.0185
p
(
2
)
=P
(
X=3
)
=0.1300
p
(
4
)
=P
(
X=4
)
=0.2900
p
(
5
)
=P
(
X=5
)
=0.1589
p
(
6
)
=P
(
X=6
)
=0.3115
