GO Electronics
Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
New Blog
Blogs
Exams
Dark Mode
Recent questions tagged probability-density-function
1
vote
0
answers
1
TIFR ECE 2014 | Question: 14
Suppose that a random variable $X$ has a probability density function \[ \begin{aligned} f(x) & =c(x-4) \quad \text { for } 4 \leq x \leq 6 \\ & =0 \quad \text { for all other } x \end{aligned} \] for some constant $c$. What is the expected value of $X$ given that $X \geq 5?$ $5 \frac{5}{9}$ $5 \frac{1}{2}$ $5 \frac{3}{4}$ $5 \frac{1}{4}$ $5 \frac{5}{8}$
admin
asked
in
Probability and Statistics
Dec 14, 2022
by
admin
44.9k
points
17
views
tifr2014
probability-and-statistics
probability
probability-density-function
1
vote
0
answers
2
TIFR ECE 2014 | Question: 18
A non-negative loss in a car accident is distributed with the following probability density function \[ f(x)=\frac{1}{10} \exp (-x / 10) \] for $x \geq 0$. Suppose that first $5$ units of loss is incurred by the insured and the remaining loss if any is covered by the ... $5+10 \exp \left(-\frac{1}{2}\right)$ $15 \exp \left(-\frac{1}{2}\right)$
admin
asked
in
Probability and Statistics
Dec 14, 2022
by
admin
44.9k
points
26
views
tifr2014
probability-and-statistics
probability
probability-density-function
1
vote
0
answers
3
TIFR ECE 2011 | Question: 9
Consider two independent random variables $X$ and $Y$ having probability density functions uniform in the interval $[-1,1]$. The probability that $X^{2}+Y^{2}>1$ is $\pi / 4$ $1-\pi / 4$ $\pi / 2-1$ Probability that $X^{2}+Y^{2}<0.5$ None of the above
admin
asked
in
Probability and Statistics
Dec 5, 2022
by
admin
44.9k
points
15
views
tifr2011
probability-and-statistics
probability
probability-density-function
1
vote
0
answers
4
TIFR ECE 2010 | Question: 3
Consider two independent random variables $\text{X}$ and $\text{Y}$ having probability density functions uniform in the interval $[0,1]$. When $\alpha \geq 1$, the probability that $\max (\text{X, Y})>\alpha \min (\text{X, Y})$ is $1 /(2 \alpha)$ $\exp (1-\alpha)$ $1 / \alpha$ $1 / \alpha^{2}$ $1 / \alpha^{3}$
admin
asked
in
Probability and Statistics
Dec 1, 2022
by
admin
44.9k
points
21
views
tifr2010
probability-and-statistics
probability
probability-density-function
1
vote
0
answers
5
TIFR ECE 2010 | Question: 16
Consider two independent random variables $\text{X}$ and $\text{Y}$ having probability density functions uniform in the interval $[0,1]$. The probability that $\text{X + Y}>1.5$ is $1 / 4$ $1 / 8$ $1 / 3$ $\operatorname{Pr}\{\text{X + Y} <0.25\}$ None of the above
admin
asked
in
Probability and Statistics
Dec 1, 2022
by
admin
44.9k
points
21
views
tifr2010
probability-and-statistics
probability
probability-density-function
1
vote
0
answers
6
TIFR ECE 2022 | Question: 9
Suppose you throw a dart and it lands uniformly at random on a target which is a disk of unit radius. What is the probability density function $f(x)$ ... None of the above.
admin
asked
in
Probability and Statistics
Nov 30, 2022
by
admin
44.9k
points
20
views
tifrece2022
probability-and-statistics
probability
probability-density-function
1
vote
0
answers
7
TIFR ECE 2019 | Question: 15
Anu reached a bus stop at $\text{9:00 AM.}$ She knows that the number of minutes after $\text{9:00 AM}$ when the bus will arrive is distributed with probability density function (p.d.f.) $f$ where \[f(x)=\frac{1}{10} \exp (-x / 10)\] for $x \geq 0$, ... time, measured in minutes after $\text{9:00 AM,}$ would Anu expect the bus to arrive? $12.5$ $15$ $7.5$ $10$ $12.5$
admin
asked
in
Probability and Statistics
Nov 30, 2022
by
admin
44.9k
points
9
views
tifrece2019
probability-and-statistics
probability
probability-density-function
1
vote
0
answers
8
TIFR ECE 2017 | Question: 12
Consider a signal $X$ that can take two values, $-1$ with probability $p$ and $+1$ with probability $1-p$. Let $Y=X+N$, where $N$ is mean zero random noise that has probability density function symmetric about $0.$ Given $p$ and on observing $Y$, the detection problem is ... $\text{(iii)}$ Only $\text{(i)}$ and $\text{(ii)}$ Only $\text{(i)}$ and $\text{(iii)}$
admin
asked
in
Probability and Statistics
Nov 29, 2022
by
admin
44.9k
points
22
views
tifrece2017
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
9
GATE ECE 2020 | Question: 54
$X$ is a random variable with uniform probability density function in the interval $[-2,\:10]$. For $Y=2X-6$, the conditional probability $P\left ( Y\leq 7\mid X\geq 5 \right )$ (rounded off to three decimal places) is __________.
go_editor
asked
in
Probability and Statistics
Feb 13, 2020
by
go_editor
1.9k
points
92
views
gate2020-ec
numerical-answers
probability-and-statistics
probability
probability-density-function
uniform-distribution
0
votes
0
answers
10
GATE ECE 2016 Set 2 | Question: 28
Two random variables $X$ and $Y$ are distributed according to $f_{X,Y}(x,y)=\begin{cases} (x+y),& 0\leq x\leq 1,&0\leq y\leq 1\\ 0, & \text{otherwise.} \end{cases}$ The probability $P(X+Y\leq 1)$ is ________
Milicevic3306
asked
in
Probability and Statistics
Mar 28, 2018
by
Milicevic3306
15.8k
points
123
views
gate2016-ec-2
numerical-answers
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
11
GATE ECE 2015 Set 1 | Question: 52
A source emits bit $0$ with probability $\frac{1}{3}$ and bit $1$ with probability $\frac{2}{3}$. The emitted bits are communicated to the receiver. The receiver decides for either $0$ or $1$ based on the received value $R$. It is given that the ... $0$ $1/12$ $1/9$ $1/6$
Milicevic3306
asked
in
Probability and Statistics
Mar 28, 2018
by
Milicevic3306
15.8k
points
87
views
gate2015-ec-1
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
12
GATE ECE 2014 Set 2 | Question: 49
The input to a $1$ – bit quantizer is a random variable $X$ with pdf $f_{X}( x )= 2e^{-2x}$ for $x\geq 0$ and $f_{X} (x )= 0$ for $x< 0$. For outputs to be of equal probability, the quantizer threshold should be ______.
Milicevic3306
asked
in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
15.8k
points
65
views
gate2014-ec-2
numerical-answers
probability-and-statistics
probability
probability-density-function
random-variable
0
votes
0
answers
13
GATE ECE 2018 | Question: 17
A binary source generates symbols $X\in \left \{ -1,1 \right \}$ which are transmitted over a noisy channel.The probability of transmitting $X=1$ is $0.5.$ Input to the threshold detector is $R=X+N$ ... is shown below. If the detection threshold is zero, then the probability of error (correct to two decimal places) is __________.
gatecse
asked
in
Communications
Feb 19, 2018
by
gatecse
1.5k
points
72
views
gate2018-ec
numerical-answers
probability-density-function
communications
To see more, click for the
full list of questions
or
popular tags
.
Welcome to GO Electronics, where you can ask questions and receive answers from other members of the community.