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 |
Assignment No.3 (Course STA301)
Fall 2012 (Total Marks 15)
Deadline
Your Assignment must be uploaded/ submitted before or on 23:59 January 16th, 2013
STUDENTS ARE STRICTLY DIRECTED TO SUBMIT THEIR ASSIGNMENT BEFORE OR BY DUE DATE. NO ASSIGNMNENT AFTER DUE DATE WILL BE ACCEPTED VIA E.MAIL).
Rules for Marking
It should be clear that your Assignment will not get any credit IF:
The Assignment submitted, via email, after due date.
The submitted Assignment is not found as MS Word document file.
There will be unnecessary, extra or irrelevant material. The Statistical notations/symbols are not well-written i.e., without using MathType software.
The Assignment will be copied from handouts, internet or from any other student’s file. Copied material (from handouts, any book or by any website) will be awarded ZERO MARKS. It is PLAGIARISM and an Academic Crime.
The medium of the course is English. Assignment in Urdu or Roman languages will not be accepted.
Assignment means Comprehensive yet precise accurate details about the given topic quoting different sources (books/articles/websites etc.). Do not rely only on handouts. You can take data/information from different authentic sources (like books, magazines, website etc) BUT express/organize all the collected material in YOUR OWN WORDS. Only then you will get good marks.
Objective(s) of this Assignment:
This assignment is uploaded in order to built understanding about the
Properties of probability distributions.
Application of probability distribution in real life.
Mathematical expectation and its properties.
Assignment No: 3 (Lessons 23-30)
Question 1: Marks: 4+4=8
a) Given the function below
f (x) c(1 x) 0 x 1
Obtain the value of “c”, so that f (x) is a density function.
b) A random variable “X” following binomial distribution has its mean and variance,
18 and 3.52 respectively. Calculate the value of “n” and “p”.
Question 2: Marks: 5+2=7
a) During a laboratory experiment the number of radio active particles passing
through a counter in one milli-second is 4.
I. What is the probability that 6 particles enter the counter in a given millisecond?
II. What is the probability that at most two particles enter the counter in a given
milli-second?
b) If E(X) 5 , then calculate the value of E(Y) . Where Y is defined as
Y 3X 5
-END
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)listen anaya iska 2nd question bilkul theek h???
ha g 100% corrct ha ya assigmnt file
thxx
welcome
students mew formula se ni hona ye lemda formula se hona he page 217 or 218 pe sub explain he jb mili second ho to lemda use ho ga
Helo*-+*Ning aj extand day ha plz ab or na formula niklo phla he final solution submit krwe he kitne bar chnge kr k
STA301 ASSIGNMNT 3 SOLUTION. STA301 VU Current Assignment No. 3 Fall 2012 Solution
Posted on January 16, 2013 by JUST AN IDEA SOLUTIONS.. Assignment No.3 ( STA301) Fall 2012 (Total Marks 15) Deadline Your Assignment must be uploaded/ submitted before or on 23:59 January 16th, 2013 Assignment N 3 (Lessons 23-30) Question 1: Marks: 4+4=8 a) Given the function below f (x) c(1 x) 0 x 1 Obtain the value of “c”, so that f (x) is a density function. b) A random variable “X” following binomial distribution has its mean and variance, 18 and 3.52 respectively. Calculate the value of “n” and “p”. Question 2: Marks: 5+2=7 a) During a laboratory experiment the number of radio active particles passing through a counter in one milli-second is 4. I. What is the probability that 6 particles enter the counter in a given millisecond? II. What is the probability that at most two particles enter the counter in a given milli-second? b) If E(X) 5 , then calculate the value of E(Y) . Where Y is defined as Y 3X 5 -END SOLUTION: Question 2: a) During a laboratory experiment the number of radio active particles passing through a counter in one milli-second is 4. I. What is the probability that 6 particles enter the counter in a given milli-second? x=6, μ=4, e=0.01832 Solution : P(X=6) = 0.01832 x 46 6! = 75.0208 720 P(X=6) = 0.1042 II. What is the probability that at most two particles enter the counter in a given milli-second? x= 2, μ= 4, Soution: = 0.01832 x 40 + 0.01832 x 41 + 0.01832 x 42 0! 1! 2! = 0.01832 x 40 + 0.01832 x 41 + 0.01832 x 42 1 1 2 = 0.01832 + 0.07328 + 0.14656 = 0.23816 b) If , then calculate the value of . Where Y is defined as Y = 3X + 5 E(Y) = 3 E (x) + 5 = 3 (5) + 5 = 15 + 5 Y = 20 ………………………………. Q1 b) b) A random variable “X” following binomial distribution has its mean and variance, 18 and 3.52 respectively. Calculate the value of “n” and “p”. solution mean=np=18 variance=npq=3.52 npq/np=0.195=q p=1-q =1-.195=.80 np=18 n(.80)=18 n=22.50 …………………….. Lecture no 27 is related with the Assignment no.3 For complete understanding first readout the lecture …………………….. Question 1 me a part or question 2 me a part discuss kro in dono me koi help kr dey ga question 2 b part = 3 E(x)+ 5 = 3 (5) + 5 = 15+5 = 20 …………………….. Q1 part b me integral lena he 0 to 1.densty function ki wja se ye integration 1 ki equal ho ga. integral 0 to 1(c(1-x)dx=1 then c(x-x2/2)value 0 to 1=1 ans will be 2 …………………….. E(X)=5 then E(Y)=? Y=3X+5 Y=3*5+5=20 or Y=20 what is differenec bt Y and E(Y) ?? then how to get E(Y) …………………….. integral 0 to 1(c(1-x)dx=1 then c(x-x2/2)value 0 to 1=1 2Ans. b) A random variable “X” following binomial distribution has its mean and variance, 18 and 3.52 respectively. Calculate the value of “n” and “p”. Ans: Solution mean=np=18 variance=npq=3.52 npq/np=0.195=q p=1-q =1-.195=.80 np=18 n(.80)=18 n=22.50 Question 2: Marks: 5+2=7 a) During a laboratory experiment the number of radioactive particles passing through a counter in one milli-second is 4. 1. 1. I. What is the probability that 6 particles enter the counter in a given milli-second? 2. 2. II. What is the probability that at most two particles enter the counter in a given milli-second? Ans: This question is from 29 lec….! (a) (i) Formula: P(X=x)= e−μμx / x! where x=6, μ=4, e=2.71828 Answer will be P(X=6)=0.1042 (ii) Formula: P(X=x)= e−μμx / x! where x=2, μ=4, e=2.71828 Answer will be P(X=2)= ?? (Calculate yourself) Probability formula: b) If, then calculate the value of. Where Y is defined as Ans: = 3 E(x)+ 5 = 3 (5) + 5 = 15+5 = 20 …………………….. QUESTION 2 (a) (i) Formula: P(X=x)= e−μμx / x! where x=6, μ=4, e=2.71828 Answer will be P(X=6)=0.1042 (ii) Formula: P(X=x)= e−μμx / x! where x=2, μ=4, e=2.71828 Answer will be P(X=2)= 0.14652 |
© 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 any profile, which does not show any Activity at site nor has not any activity more than 01 month.
We are user-generated 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