


Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
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.
Typology: Exercises
1 / 4
This page cannot be seen from the preview
Don't miss anything!
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.
p ( x )= P ( X = x )=
y j = 5
10
p ( x , y
j
p ( y )= P ( Y = y ) =
x
i
= 1
6
p ( x
i
, y )
Marginal PMF of X:
p ( 1 )= P ( X = 1 )=
y j = 5
10
p
1 , y
j
p ( 2 )= P ( X = 2 )=
y
j = 5
10
p
2 , y
j
p ( 2 )= P ( X = 3 )=0.
p ( 4 )= P ( X = 4 )=0.
p ( 5 )= P ( X = 5 )=0.
p ( 6 )= P ( X = 6 ) =0.
Marginal PMF of Y:
p ( 5 )= P ( Y = 5 )=
x
i
= 1
6
p
x
i
p ( 6 )= P ( Y = 6 )=0.
p ( 7 )= P ( Y = 7 )=0.
p ( 8 )= P ( Y = 8 )=0.
p ( 9 )= P ( Y = 9 )=0.
p ( 10 )= P ( Y = 10 )=0.
p
x
i
∨ y = 5
X = x
i
P ( X = x
i
p ( x
i
p ( 5 )
p
p
XY
p
Y
p ( 2 ∨ 5 ) = P ( X = 2 ∨ Y = 5 )=
p
XY
p
Y
p
p
XY
p
Y
p
p
XY
p
Y
p
p
XY
p
Y
p
p
XY
p
Y