Random Variables
1.
The random variable X has the probability density function:
f ( x) 3 x k
0 x 1
;
Find the value of k? , E (x), V (x), Cumulative distribution function & P 1 x 3
4
4
2.
3.
A discrete random variable has a Binomial distribution with par

Solution to Engineering Statistics Exam 2014-2015 Dam and Water Resources Department
Solution to Final Exam (2014-2015)
Salahaddin University
College of Engineering
Dams & Water Resources Eng. Dept.
Class: 2rd Year
Date 01/06/2015
Time: 3 Hours
Subject: E

Random Variables
1.
The random variable X has the probability density function:
f ( x) 3x k
;
0 x 1
Find the value of k? , E (x), V (x), Cumulative distribution function & P 1 x 3
4
4
1
3 = 1
=0
3
= 1 => 3 = + 1 => =
+1
= 3 2 ; 0 1
1
3 3 =
=
=0
3
4
1

Assignment bib. 82 Basic PrbbabiiityMT-338 F85
l. {a} wa many different pbsitiye three—digit whble numbers can be fbrmed frbm the fbur
digits 2. 8. ?. and 8 if any digit can be repeated?
[bl wa many different pbsitiye whble numbers less than 1888 can be f

Probability and Statistics
Handout # 01
Statistics:
The word statistics can be used as a plural sense and in a singular sense. In plural sense we use
this word like statistics of prices, statistics of road accidents, statistics of educational
institutions

Gazi University
Faculty of Engineering and Architecture
Department of Chemical Engineering
ChE 341 Chemical Reaction Engineering
Dr. idem GLDR
Assist. Dolunay Eslek
PROBLEM SET-3
1. Reactant A decomposes with stoichiometry A
R and with the rate dependent

STT 01 101/102
STATISTICAL METHODS
PRACTICE EXERCISES SHEET 2
1. A coin is weighted so that heads is twice as likely to appear as tails. Find P(T) and
P(H). ANS: P(T) =
1
2
; P(H) =
.
3
3
2. Two men, m1 and m2, and three women, w1, w2, w3, are in a chess

MCQs of Measures of Dispersion
MCQ No 4.1
The scatter in a series of values about the average is called:
(a) Central tendency
(b) Dispersion
(c) Skewness
(d) Symmetry
MCQ No 4.2
The measurements of spread or scatter of the individual values around the cen