The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
GATE Overflow
Facebook Login
Google Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
All Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous
Blogs
New Blog
Exams
First time here? Checkout the
FAQ
!
x
×
Close
Use the google search bar on side panel. It searches through all previous GATE/other questions. For hardcopy of previous year questions please see
here
Recent questions tagged randomvariable
0
votes
2
answers
1
Uniform Random variableSelf Doubt
I was reading the uniform random variable from sheldon ross it is given that X is a uniform random variable on the interval $(\alpha,\beta)$ if the probability density function of X is given by $f(x)=\left\{ \frac{1}{\beta\alpha}\, if \, \ ... \lt \beta\\1 \,\, a \geq \beta\right\}$ My query is how they derived the distribution function from the density function?
asked
Jul 8
in
Probability
by
Ayush Upadhyaya
Boss
(
11k
points)

65
views
randomvariable
probability
0
votes
0
answers
2
ProbabilitySheldon Ross(Self Doubt)
I was reading probability from Sheldon Ross and found below example. A purchaser of electrical components buys them in lots of size 10. It is his policy to inspect 3 components from a lot and to accept the lot if all the 3 are nondefective. If 30 percent of ... why they have multiplied it with $\frac{3}{10}$ in the first part and $\frac{7}{10}$ in the second?
asked
Jul 7
in
Probability
by
Ayush Upadhyaya
Boss
(
11k
points)

82
views
probability
sheldonross
randomvariable
0
votes
0
answers
3
Universality of Uniform
According to Universality of Uniform , We can get from the uniform distribution to the other distributions and also from other distributions back to the uniform distribution. Please explain how we would simulate from one distribution to other distribution ?
asked
May 6
in
Probability
by
ankitgupta.1729
Loyal
(
6.6k
points)

47
views
randomvariable
uniformdistribution
0
votes
0
answers
4
Probability and random variable
Consider the sets $A_1, A_2, A_3 \dots A_m$ each a subset of size $k$ of $\{1,2,3, \dots , n\}$. If in a 2colouring of $\{1,2,3, \dots , n\}$ no set $A_i$ is monochromatic, then show that $ m < 2^{k1}$.
asked
Apr 28
in
Set Theory & Algebra
by
Debashish Deka
Veteran
(
56.9k
points)

61
views
probability
randomvariable
combinatoricsiitb
0
votes
2
answers
5
Maths: Probability Distribution
Suppose X is a uniform random variable between 0.50 and 1.00. What is the probability that a randomly selected value of X is between 0.55 and 0.60 or between 0.75 and 0.85? A. 0.00 B. 0.15 C. 0.60 D. 0.30
asked
Apr 22
in
Probability
by
blind00x
(
27
points)

110
views
engineeringmathematics
probability
randomvariable
0
votes
0
answers
6
sheldon ross
Three balls are to be randomly selected without replacement from an urn containing $20$ balls numbered $1$ through $20$. If we bet that at least one of the balls that are drawn has a number as large as or larger than $17$, what is the probability that we win the bet?
asked
Mar 10
in
Combinatory
by
Ananya Jaiswal 1
Active
(
1.9k
points)

96
views
probability
randomvariable
0
votes
1
answer
7
Sheldon Ross Normal Variable
In the below question my query is for (a) part When we are calculating $P\left \{ \frac{1}{3}< Z< \frac{2}{3} \right \}$ I know that the normal variable X is converted to standard normal variable and then we look for values in normal table but I want to know how the third step came? Please explain anyone.
asked
Dec 11, 2017
in
Probability
by
Ayush Upadhyaya
Boss
(
11k
points)

99
views
probability
sheldonross
randomvariable
0
votes
1
answer
8
Random Variables
Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. What are possible values of X?
asked
Dec 3, 2017
in
Mathematical Logic
by
hem chandra joshi
Active
(
4.4k
points)

100
views
randomvariable
+1
vote
2
answers
9
Discreate Random Variable (Rose_8th Edition)
asked
Jul 18, 2017
in
Combinatory
by
Shubhanshu
Boss
(
15.1k
points)

129
views
probability
engineeringmathematics
randomvariable
+12
votes
3
answers
10
GATE2017231
For any discrete random variable $X$, with probability mass function $P(X=j)=p_j, p_j \geq 0, j \in \{0, \dots , N \}$, and $\Sigma_{j=0}^N \: p_j =1$, define the polynomial function $g_x(z) = \Sigma_{j=0}^N \: p_j \: z^j$. For a certain discrete ... \beta z)^N$. The expectation of $Y$ is $N \beta(1\beta)$ $N \beta$ $N (1\beta)$ Not expressible in terms of $N$ and $\beta$ alone
asked
Feb 14, 2017
in
Probability
by
Arjun
Veteran
(
355k
points)

2.6k
views
gate20172
probability
randomvariable
+17
votes
2
answers
11
GATE2017119
Let $X$ be a Gaussian random variable with mean 0 and variance $\sigma ^{2}$. Let $Y$ = $max\left ( X,0 \right )$ where $max\left ( a,b \right )$ is the maximum of $a$ and $b$. The median of $Y$ is ______________ .
asked
Feb 14, 2017
in
Probability
by
Arjun
Veteran
(
355k
points)

3.5k
views
gate20171
probability
randomvariable
numericalanswers
+5
votes
1
answer
12
Maths: Probability Distribution Que01
asked
Jan 12, 2017
in
Probability
by
Vijay Thakur
Boss
(
17.1k
points)

246
views
probability
randomvariable
engineeringmathematics
discretemathematics
+4
votes
1
answer
13
Probability Distribution: PDF
Que: The variance of the random variable X with P.D.F f(x)=0.5x ex is ___?
asked
Dec 30, 2016
in
Probability
by
Vijay Thakur
Boss
(
17.1k
points)

493
views
probability
randomvariable
+1
vote
0
answers
14
2..You are in a game show! There are 10 closed doors, 0 leads to nothing and 1 leads to an expensive sports car.
asked
Nov 24, 2016
in
Probability
by
Akriti sood
Boss
(
13.6k
points)

530
views
probability
counting
randomvariable
+3
votes
0
answers
15
probability distribution
A arrives at office at 810am regularly; B arrives at 911 am every day. Probability that one day B arrives before A? [Assume arrival time of both A and B are uniformly distributed]
asked
Nov 17, 2016
in
Mathematical Logic
by
vaishali jhalani
Loyal
(
5.8k
points)

190
views
probability
randomvariable
uniformdistribution
+1
vote
1
answer
16
Virtual Gate
Let X and Y be two independent random variables. Suppose, we know that Var(√5X − √2Y) = 15 and Var(−√2X + Y) = 6.5. Var(X) and Var(Y) are: (A) Var(X) = 2.5, Var(Y) = 2 (B) Var(X) = 2, Var(Y) = 2.5 (C) Var(X) = 3, Var(Y) = 1.5 (D) Var(X) = 1.5, Var(Y) = 2.5
asked
Oct 21, 2016
in
Probability
by
Niharika 1
Active
(
2.1k
points)

177
views
variance
randomvariable
0
votes
1
answer
17
Probability Distribution
In the cartesian plane, selection of a point P along the y axis in [0,2] is uniformly random. Similarly selection of a point Q along the x axis in [0,2] also uniformly distributed. What is the probability of the area of the triangle POQ to be less than or equal to 1, where O is the origin ?
asked
Sep 15, 2016
in
Probability
by
Debashish Deka
Veteran
(
56.9k
points)

337
views
probability
randomvariable
uniformdistribution
discretemathematics
+4
votes
2
answers
18
Probability Distribution Random Variable
asked
Aug 24, 2016
in
Probability
by
Vijay Thakur
Boss
(
17.1k
points)

490
views
probability
randomvariable
engineeringmathematics
+2
votes
2
answers
19
Probability Random Variabme
asked
Jun 18, 2016
in
Probability
by
pC
Boss
(
22.1k
points)

150
views
probability
randomvariable
0
votes
0
answers
20
FST 10 q65 madeeasy testseries
Let X be a random variable as shown in the figure below If it is quantized by a two bit quantizer such that all the levels are equiprobable then the mean square value of the output of the quantizer is ______________ V.
asked
Jan 28, 2016
in
Probability
by
khushtak
Loyal
(
7.6k
points)

105
views
madeeasytestseries
engineeringmathematics
probability
randomvariable
+1
vote
1
answer
21
random variables
suppose X and Y are random variables such that E(X)=1 (Y)=2 V(X)=1 V(Y)=2 Cov(X,Y)=1 by using above values following expression are evaluated E(X+2Y)=p EXY)=q Vat(X2Y+1)=r find pq+r
asked
Jan 13, 2016
in
Probability
by
Pooja Palod
Boss
(
31.4k
points)

437
views
randomvariable
probability
+3
votes
1
answer
22
uniform distribution
x1 x2 x3 are three independent random variables distributed uniformly on [0,1].Find probability that P(X1 is largest )
asked
Dec 16, 2015
in
Probability
by
Pooja Palod
Boss
(
31.4k
points)

484
views
randomvariable
probability
+3
votes
3
answers
23
random variables
Let x1 x2 x3 be three independent and identically distribuyed random variables with uniform distrbution on (0,1) find probability p(x1+x2<=x3)
asked
Dec 16, 2015
in
Probability
by
Pooja Palod
Boss
(
31.4k
points)

1.3k
views
probability
randomvariable
+3
votes
1
answer
24
probability random variables
Let X∈{0,1} and Y∈{0,1} be two random variables if P(X=0) =p and P(Y=0)=q then P(X+Y>=1) is equal to 1)pq+(1p)(1q) 2)pq 3)p(1q) 4)1pq
asked
Dec 16, 2015
in
Probability
by
Pooja Palod
Boss
(
31.4k
points)

221
views
probability
randomvariable
easy
+4
votes
0
answers
25
TIFR2015A12
Consider two independent and identically distributed random variables $X$ and $Y$ uniformly distributed in $[0, 1]$. For $\alpha \in \left[0, 1\right]$, the probability that $\alpha$ max $(X, Y) < XY$ is $1/ (2\alpha)$ exp $(1  \alpha)$ $1  \alpha$ $(1  \alpha)^{2}$ $1  \alpha^{2}$
asked
Dec 5, 2015
in
Probability
by
makhdoom ghaya
Boss
(
40.1k
points)

155
views
tifr2015
probability
randomvariable
+4
votes
2
answers
26
TIFR2014A19
Consider the following random function of $x$ $F(x) = 1 + Ux + Vx^{2} \bmod 5$, where $U$ and $V$ are independent random variables uniformly distributed over $\left\{0, 1, 2, 3, 4\right\}$. Which of the following is FALSE? $F(1)$ is uniformly distributed ... right\}$. $F(1), F(2), F(3)$ are independent and identically distributed random variables. All of the above. None of the above.
asked
Nov 19, 2015
in
Probability
by
makhdoom ghaya
Boss
(
40.1k
points)

248
views
tifr2014
probability
randomvariable
+2
votes
0
answers
27
TIFR2013A18
Consider three independent uniformly distributed (taking values between $0$ and $1$) random variables. What is the probability that the middle of the three values (between the lowest and the highest value) lies between $a$ and $b$ where $0 ≤ a < b ≤ 1$. $3 (1  b) a (b  a)$ $3 (b  a)  (b^{2 ...  a)$ $(1  b) a (b  a)$ $6 ((b^{2} a^{2})/ 2  (b^{3}  a^{3})/3)$.
asked
Nov 5, 2015
in
Probability
by
makhdoom ghaya
Boss
(
40.1k
points)

164
views
tifr2013
probability
randomvariable
+6
votes
1
answer
28
random variables
Consider two independent random variables X and Y with identical distributions.The variables X and Y take blue 0, 1 and 2 with probabilities 1/2, 1/4 and 1/4 respectively. What is conditional probability P(X+Y=2/XY=0)???
asked
Nov 2, 2015
in
Probability
by
Pooja Palod
Boss
(
31.4k
points)

709
views
probability
conditionalprobability
randomvariable
+2
votes
1
answer
29
Probability
Suppose that the length of the phone calls in minutes is an exponential random variable with parameter $\lambda = 1/10$. If someone arrives immediately ahead of you at a public telephone booth, find the probability of that you will have to wait a) more than $10$ minutes (ans $0.368$) b) between $10$ and $20$ minutes (ans $0.233$)
asked
Oct 21, 2015
in
Probability
by
Aditi Tiwari
Active
(
1.2k
points)

261
views
probability
randomvariable
Page:
1
2
next »
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
Schedule for GATE 2019
GATE 2019 official website
Correct way of preparation
Right process to start solving MCQs in Comp.Sc.
UGC NET JULY 2018 Results
Follow @csegate
Gatecse
Recent questions tagged randomvariable
Recent Blog Comments
Books are there but don't think any will leave ...
Sir i have placed the order Details are PAYMENT ...
Sir i am placing order for gate overflew book ...
Yes, their tracking system is incomplete. ...
India post don't update the tracking details. No ...
38,084
questions
45,574
answers
132,084
comments
49,063
users