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Recent questions tagged randomvariable
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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
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Combinatory
by
Ananya Jaiswal 1
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1.2k
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59
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probability
randomvariable
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1
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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
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7.7k
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79
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probability
sheldonross
randomvariable
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votes
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3
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
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4.3k
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77
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randomvariable
+1
vote
2
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Discreate Random Variable (Rose_8th Edition)
asked
Jul 18, 2017
in
Combinatory
by
Shubhanshu
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14.9k
points)

105
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probability
engineeringmathematics
randomvariable
+12
votes
3
answers
5
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
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339k
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2.4k
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gate20172
probability
randomvariable
+17
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2
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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 ______________ .
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Feb 14, 2017
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Probability
by
Arjun
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339k
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3.2k
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gate20171
probability
randomvariable
numericalanswers
+5
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1
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Maths: Probability Distribution Que01
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Jan 12, 2017
in
Probability
by
Vijay Thakur
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17k
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222
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probability
randomvariable
engineeringmathematics
discretemathematics
+4
votes
1
answer
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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
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17k
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318
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probability
randomvariable
+1
vote
0
answers
9
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
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13.5k
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518
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probability
counting
randomvariable
+3
votes
0
answers
10
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
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5.8k
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177
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probability
randomvariable
uniformdistribution
+1
vote
1
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11
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
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2.1k
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168
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variance
randomvariable
0
votes
1
answer
12
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
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56.2k
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309
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probability
randomvariable
uniformdistribution
discretemathematics
+3
votes
2
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Probability Distribution Random Variable
asked
Aug 24, 2016
in
Probability
by
Vijay Thakur
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17k
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426
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probability
randomvariable
engineeringmathematics
+2
votes
2
answers
14
Probability Random Variabme
asked
Jun 18, 2016
in
Probability
by
pC
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22k
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142
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probability
randomvariable
0
votes
0
answers
15
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
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7.5k
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101
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madeeasytestseries
engineeringmathematics
probability
randomvariable
+1
vote
1
answer
16
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
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(
31.3k
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355
views
randomvariable
probability
+3
votes
1
answer
17
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
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31.3k
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447
views
randomvariable
probability
+3
votes
3
answers
18
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
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(
31.3k
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1.2k
views
probability
randomvariable
+3
votes
1
answer
19
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
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31.3k
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208
views
probability
randomvariable
easy
+4
votes
0
answers
20
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
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(
39.7k
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153
views
tifr2015
probability
randomvariable
+4
votes
2
answers
21
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
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39.7k
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236
views
tifr2014
probability
randomvariable
+2
votes
0
answers
22
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
(
39.7k
points)

150
views
tifr2013
probability
randomvariable
+6
votes
1
answer
23
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
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(
31.3k
points)

614
views
probability
conditionalprobability
randomvariable
+2
votes
1
answer
24
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)

215
views
probability
randomvariable
+6
votes
1
answer
25
TIFR2011A7
Let $X$ and $Y$ be two independent and identically distributed random variables. Then $P\left ( X> Y \right )$ is. $\frac{1}{2}$ 1 0 $\frac{1}{3}$ Information is insufficient.
asked
Oct 17, 2015
in
Probability
by
makhdoom ghaya
Boss
(
39.7k
points)

276
views
tifr2011
probability
randomvariable
+3
votes
1
answer
26
Continuous random distribution
The continuous random variable X has pdf f(x)=x/2, 0<=x<=2. Two independent determinations of X are made. What is the probability that both these determinations will be greater than one? If three independent determinations had been made,what is the probability that exactly two of these are larger than one?
asked
Oct 17, 2015
in
Probability
by
khushtak
Loyal
(
7.5k
points)

187
views
randomvariable
probability
+1
vote
2
answers
27
Random variables and distribution
If X is a continuous random variable whose probability density function is given by f(x) ={k(5x2x^2) , 0
asked
Sep 9, 2015
in
Probability
by
admin
Active
(
2.6k
points)

695
views
randomvariable
+2
votes
2
answers
28
Uniform probability distribution
X is uniformly distributed random variable that takes values between 0 and 1.The value of E(X^3) will be
asked
Sep 9, 2015
in
Probability
by
admin
Active
(
2.6k
points)

450
views
randomvariable
expectation
+22
votes
2
answers
29
GATE20153_37
Suppose $X_i$ for $i=1, 2, 3$ are independent and identically distributed random variables whose probability mass functions are $Pr[X_i = 0] = Pr[X_i = 1] = \frac{1} {2} \text{ for } i = 1, 2, 3$. Define another random variable $Y = X_1X_2 \oplus X_3$, where $\oplus$ denotes XOR. Then $Pr[Y=0 \mid X_3 = 0] =$______.
asked
Feb 15, 2015
in
Probability
by
jothee
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98.8k
points)

1.9k
views
gate20153
probability
randomvariable
normal
numericalanswers
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