We are here with you hands in hands to facilitate your learning & don't appreciate the idea of copying or replicating solutions. Read More>>
+ Link For Assignments, GDBs & Online Quizzes Solution 
+ Link For Past Papers, Solved MCQs, Short Notes & More 
Dear Students! Share your Assignments / GDBs / Quizzes files as you receive in your LMS, So it can be discussed/solved timely. Add Discussion
How to Add New Discussion in Study Group ? Step By Step Guide Click Here.
STA301 (Statistics & Probability)
Assignment No.3
Solved & Attempt By
Innocent Prince
Question 1:
P(X = x) = e^{2} 2^{x} x = 0, 1, 2, 3, 4…..
x!
Answer:
Sign of at most is (≤)
So,
We have to find:
As he said (One flaw in 450)
So (x=1)
Now
P(x ≤ 1) = e^{5.4} (5.4)^{1}
1
= (o.oo4) (5.4)
1
P(x ≤ 1) = 0.0216
[ùe^{5.4} = 1 = 0.004 ] (See Example on page # 217)
(2.71828) ^{5.4}
Answer:
X 
X^{2} 
0 
0 
1 
1 
2 
4 
3 
9 
4 
16 
X=10 
X^{2} = 30 
Mean = X/n
= 10/5
= 2
So, Mean is 2
Now find variance
V = X^{2}/n – (x/n) ^{2}
V = 30/5  (30/5) ^{2}
V = 6 – 36
Question 2:
I. For the following probability distribution;
Show that E (5x + 3) = 5E(x) + 3
X 
P(X) 
0 
0.3 
1 
0.6 
2 
0.1 
Answer: (see page 178)
X 
P(X) 
XP(x) 
0 
0.3 
0 
1 
0.6 
0.6 
2 
0.1 
0.2 

P(x) = 1 
XP(x) = 0.8 
µ= E(X) = Xp(x) = 0.8
So
5(EX) + 3
5(0.8) + 3
4+3 = 7
Hence Prove that,
E (5x + 3) = 5E(x) + 3 are equal
B) Find the distribution function for the following density function.
F(x) = 1/8x 0 ≤ x ≤ 4
Answer: ( see lect 25 )
P [0 ≤ x ≤ 4] = 4f0 f(x) dx
= 4f0 2x dx
= 2 [x^{2}/2]
= [4^{2}]
= 16
Question 3:
(See & read page # 189 for joint probability distribution)
Let X & Y have the joint probability distribution described as follows,
X 
1 
2 
3 
Y 



1 
1/12 
1/6 
0 
2 
0 
1/9 
1/5 
3 
1/18 
¼ 
2/15 
Find the two marginal probability distribution for X and Y.
Answer:
X 
1 
2 
3 
P(X = x_{i}) G(x) 
Y 

1 
1/12 = 0.08 
1/6 = 0.17 
0 
0.25 
2 
0 
1/9 = 0.11 
1/5 = 0.2 
0.31 
3 
1/18 = 0.06 
¼ = 0.25 
2/15 = 0.13 
0.44 
P(Y = y_{j}) 
0.14 
0.53 
0.33 
1 
Marginal Probability Distribution for X & Y
So
F(x, y) = P (X = x_{i} and Y = y_{j})
= P (X = x_{i}) (Y = y_{j})
= 1. 1
= g(x) h(y) = 1
Tags:
+ How to Follow the New Added Discussions at Your Mail Address?
+ How to Join Subject Study Groups & Get Helping Material? + How to become Top Reputation, Angels, Intellectual, Featured Members & Moderators? + VU Students Reserves The Right to Delete Your Profile, If?.
+ http://bit.ly/vucodes (Link for Assignments, GDBs & Online Quizzes Solution)+ http://bit.ly/papersvu (Link for Past Papers, Solved MCQs, Short Notes & More)
+ Click Here to Search (Looking For something at vustudents.ning.com?) + Click Here To Join (Our facebook study Group)Question part 2.... is rong... correct solution upload soon... thnks
See the attached file
question 1 nd part b...
mean n variance...
Mean is 2
Now find variance
E(X) = μ
E(X) = 2
V(X) = σ2 = μ
V(X) = σ2 = 2
Dear Fellows
Please find attached herewith complete solution of STA301 assignment for reference and guidance only. The contributor holds no liability for any consequence arising out from copying this solution completely or partially.
Regards,
BlackMist
© 2019 Created by + M.Tariq Malik. Powered by
Promote Us  Report an Issue  Privacy Policy  Terms of Service
VU Students reserves the right to delete profile, which does not show any Activity at site nor has not activity more than 01 month.
We are usergenerated contents site. All product, videos, pictures & others contents on vustudents.ning.com don't seem to be beneath our Copyrights & belong to their respected owners & freely available on public domains. We believe in Our Policy & do according to them. If Any content is offensive in your Copyrights then please email at m.tariqmalik@gmail.com or Contact us at contact Page with copyright detail & We will happy to remove it immediately.
Management: Admins ::: Moderators
Awards Badges List  Moderators Group
All Members  Featured Members  Top Reputation Members  Angels Members  Intellectual Members  Criteria for Selection
Become a Team Member  Safety Guidelines for New  Site FAQ & Rules  Safety Matters  Online Safety  Rules For Blog Post