Assignment
No.2 (Course STA 301)
Spring 2022 (Total Marks 20)
Deadline
Your Assignment must be uploaded/ submitted before or on
August 30 , 2022, Time 23:59
(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:
The assignment is being uploaded to build
up the concepts “ discrete distribution and continuous distribution”.
Question 1: Marks=10
Let X be a continuous random variable whose probability
density function is:
For an interval 0<x<c. What is the value of
constant c that makes f(x) a valid probability density function?
Question 2: Marks=10
From the following joint p.d of X and Y. Find E(X),
Var (Y) and Cov(X, Y).
x |
y |
0 |
1 |
2 |
3 |
g(x) |
0 |
0 |
0.25 |
0.05 |
0.05 |
0.35 |
|
1 |
0.03 |
0.10 |
0.10 |
0.15 |
0.38 |
|
2 |
0.07 |
0.10 |
0 |
0.10 |
0.27 |
|
h(y) |
0.10 |
0.45 |
0.15 |
0.30 |
1 |
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