Qatar University, College of Engineering
GENG 200
Assignment # 1 Solution
Due date: Oct. 12,2015
(1) A car orders are summarized by the optional features that are requested as follows:
No optional features
One optional
Department of Electrical Engineering
GENG 200: Probability & Statistics for Engineers
Fall 2016: Computer-Based Project Assignment #3
Firm Due Date: 26/12/2016 at 23:59pm
Collect interesting data for you from any source for example;
o
Visit the Doha Secur
4-94. a) E(X) = 1/ = 1/3 = 0.333 minutes
b) V(X) = 1/2 = 1/32 = 0.111, = 0.3333
x
c) P( X < x) = 3e3t dt = e3t
0
x
= 1 e3 x = 0.95, x = 0.9986
0
4-97. Let X denote the time to failure (in hours) of fans in a personal computer.
Then, X is an exponential ra
Assignment #2 Solution
1.
First we need to find the pmf by checking the jump in cumulative distribution.
pmf: f(1) = 0.3; f(2) = 0.5; f(5) = 0.2
The sum of the probabilities is one and all of them are equal or greater than zero. There this is correct
dist
Assignment #4 Solution
(1)
Solve for c
x
c e
0 0
3 x 4 y
c
c
dyd x = e 3 x 1 e 4 x d x = e 3 x e 7 x d x =
40
40
(
)
c 1 1 1
= c. c = 21
4 3 7 21
a) First we need to find the marginal Probability of Y,
f (y) = 21 e
3x4 y
dx = 21e
4 y
y
$ e3x '
7 y
&
) =