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Recent questions tagged uniform-distribution
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GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 48
Consider the quadratic equation $x^2+\dfrac{x}{2}+c=0$, where $c$ is chosen uniformly randomly from the interval $[0,1]$. What is the probability that the given quadratic equation has a real solution? The solutions of $a x^2+b x+c=0$ are given by $x=\dfrac{-b \pm \sqrt{b^2-4 a c}}{2a}$. $1 / 2$ $1 / 4$ $1 / 8$ $1 / 16$
Consider the quadratic equation $x^2+\dfrac{x}{2}+c=0$, where $c$ is chosen uniformly randomly from the interval $[0,1]$. What is the probability that the given quadratic...
GO Classes
335
views
GO Classes
asked
Feb 5
Probability
goclasses2024-mockgate-14
probability
uniform-distribution
2-marks
+
–
0
votes
1
answer
2
Memory Based GATE DA 2024 | Question: 42
Consider two random variables, (x) and (y), each following a uniform distribution. Specifically, (x) is uniformly distributed over the interval ([1, 3]), and (y) is uniformly distributed over the interval ([2, 4]). What will be $P(x \geq y)$
Consider two random variables, (x) and (y), each following a uniform distribution. Specifically, (x) is uniformly distributed over the interval ([1, 3]), and (y) is uni...
GO Classes
217
views
GO Classes
asked
Feb 4
Probability
gate2024-da-memory-based
goclasses
probability
random-variable
uniform-distribution
numerical-answers
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1
votes
0
answers
3
DRDO CSE 2022 Paper 1 | Question: 7
Let $T$ be a subset of $\{1,2, \ldots, n\}$ of size $\frac{n}{2}$, sampled uniformly at random from all subsets of size $\frac{n}{2}$ of the same set $\{1,2, \ldots, n\}$. Let $S \subseteq\{1,2, \ldots, n\}$ be an arbitrary subset of size $\frac{n}{2}$. What is the probability that $|S \cap T|=\frac{n}{4}$.
Let $T$ be a subset of $\{1,2, \ldots, n\}$ of size $\frac{n}{2}$, sampled uniformly at random from all subsets of size $\frac{n}{2}$ of the same set $\{1,2, \ldots, n\}$...
admin
344
views
admin
asked
Dec 15, 2022
Probability
drdocse-2022-paper1
probability
uniform-distribution
6-marks
descriptive
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5
votes
1
answer
4
TIFR CSE 2022 | Part A | Question: 5
Let $\mathcal{F}$ be the set of all functions mapping $\{1, \ldots, n\}$ to $\{1, \ldots, m\}$. Let $f$ be a function that is chosen uniformly at random from $\mathcal{F}$. Let $x, y$ be distinct elements from the set $\{1, \ldots, n\}$. Let $p$ denote the probability ... Then, $p=0$ $p=\frac{1}{n^m}$ $0<p \leq \frac{1}{m^n}$ $p=\frac{1}{m}$ $p=\frac{1}{n}$
Let $\mathcal{F}$ be the set of all functions mapping $\{1, \ldots, n\}$ to $\{1, \ldots, m\}$. Let $f$ be a function that is chosen uniformly at random from $\mathcal{F}...
admin
439
views
admin
asked
Sep 1, 2022
Probability
tifr2022
probability
uniform-distribution
functions
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0
votes
1
answer
5
TIFR CSE 2022 | Part A | Question: 7
Initially, $N$ white beads are arranged in a circle. A number $k$ is chosen uniformly at random from $\{1, \ldots, N-1\}$. Then a set of $k$ beads is chosen uniformly from the white beads, and these $k$ beads are coloured black. The position of the beads remains ... None of the above
Initially, $N$ white beads are arranged in a circle. A number $k$ is chosen uniformly at random from $\{1, \ldots, N-1\}$. Then a set of $k$ beads is chosen uniformly fro...
admin
568
views
admin
asked
Sep 1, 2022
Probability
tifr2022
probability
uniform-distribution
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0
votes
1
answer
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TIFR CSE 2022 | Part A | Question: 15
Fix $n \geq 4$. Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2, \ldots, n\}$. The initial probability distribution of the particle is $\pi$ i.e., the probability that particle is in location $i$ is given by $\pi(i)$. In the ... $\pi(1)=1$ and $\pi(i)=0$ for $i \neq 1$ $\pi(n)=1$ and $\pi(i)=0$ for $i \neq n$
Fix $n \geq 4$. Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2, \ldots, n\}$. The initial probability distribution of...
admin
456
views
admin
asked
Sep 1, 2022
Probability
tifr2022
probability
uniform-distribution
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0
votes
0
answers
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Best Open Video Playlist for Uniform Distributions Topic | Probability
Please list out the best free available video playlist for Uniform Distributions Topic from Probability as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video ... ones are more likely to be selected as best. For the full list of selected videos please see here
Please list out the best free available video playlist for Uniform Distributions Topic from Probability as an answer here (only one playlist per answer). We'll then selec...
makhdoom ghaya
323
views
makhdoom ghaya
asked
Aug 15, 2022
Study Resources
missing-videos
go-classroom
free-videos
video-links
uniform-distribution
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2
votes
1
answer
8
Applied Grand Test 10
The Netherlands is one of the world leaders in the production and sale of tulips. Suppose the heights of the tulips in the green house of rotterdams fantastic flora follow a continuous uniform distribution with lower bound of 7 inches and upper bound ... greater than 10 inches may be selected. What is the probability that a randomly selected tulip is tall enough to pick ____
The Netherlands is one of the world leaders in the production and sale of tulips. Suppose the heights of the tulips in the green house of rotterdams fantastic flora follo...
LRU
480
views
LRU
asked
Jan 27, 2022
Probability
test-series
engineering-mathematics
probability
uniform-distribution
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–
24
votes
2
answers
9
GATE CSE 2020 | Question: 45
For $n>2$, let $a \in \{0,1\}^n$ be a non-zero vector. Suppose that $x$ is chosen uniformly at random from $\{0,1\}^n$. Then, the probability that $\displaystyle{} \Sigma_{i=1}^n a_i x_i$ is an odd number is______________
For $n>2$, let $a \in \{0,1\}^n$ be a non-zero vector. Suppose that $x$ is chosen uniformly at random from $\{0,1\}^n$. Then, the probability that $\displaystyle{} \Sigm...
Arjun
12.1k
views
Arjun
asked
Feb 12, 2020
Probability
gatecse-2020
numerical-answers
probability
uniform-distribution
2-marks
+
–
0
votes
0
answers
10
TIFR CSE 2020 | Part A | Question: 4
Fix $n\geq 4.$ Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2,\dots,n\}.$ Let the initial probability distribution of the particle be denoted by $\overrightarrow{\pi}.$ In the first step, if the particle is at ... $i\neq 1$ $\overrightarrow{\pi}(n) = 1$ and $\overrightarrow{\pi}(i) = 0$ for $i\neq n$
Fix $n\geq 4.$ Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2,\dots,n\}.$ Let the initial probability distribution of...
admin
746
views
admin
asked
Feb 10, 2020
Probability
tifr2020
engineering-mathematics
probability
uniform-distribution
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33
votes
4
answers
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GATE CSE 2019 | Question: 47
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal place) _______
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal...
Arjun
16.1k
views
Arjun
asked
Feb 7, 2019
Probability
gatecse-2019
numerical-answers
engineering-mathematics
probability
uniform-distribution
2-marks
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0
votes
1
answer
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Ace Test Series: Probability - Uniform Distribution
Na462
910
views
Na462
asked
Feb 2, 2019
Probability
random-variable
probability
expectation
uniform-distribution
ace-test-series
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1
votes
0
answers
13
GATE ECE 2014
aditi19
341
views
aditi19
asked
Dec 8, 2018
Probability
2014-ece
probability
uniform-distribution
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1
votes
0
answers
14
Probability of missing the bus
You arrive at bus stop some time uniformly distributed between $10:00$ and $10:15$ and bus leaves the bus stop sometime uniformly distributed between $10:00$ and $10:25$. What is the probability of you missing the bus?
You arrive at bus stop some time uniformly distributed between $10:00$ and $10:15$ and bus leaves the bus stop sometime uniformly distributed between $10:00$ and $10:25$....
Mk Utkarsh
761
views
Mk Utkarsh
asked
Oct 5, 2018
Probability
probability
uniform-distribution
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–
1
votes
1
answer
15
Probability- Gravner- 80.c
After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means that the time $T$ of the call is uniformly distributed in the specified interval. (c) ... $M$ be the amount of time of the show that you miss because of th call. Compute the expected value of $M$.
After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means that th...
Pooja Khatri
665
views
Pooja Khatri
asked
Sep 27, 2018
Probability
probability
gravner
engineering-mathematics
random-variable
uniform-distribution
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0
votes
1
answer
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Probability- Gravner- 80.b
After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means that the time $T$ of the call is uniformly distributed in the specified interval (b) At $8.30$, the call still hasn't arrived. What is the probability that it arrives in the next $10$ minutes?
After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means that th...
Pooja Khatri
419
views
Pooja Khatri
asked
Sep 27, 2018
Probability
probability
gravner
engineering-mathematics
random-variable
uniform-distribution
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–
0
votes
1
answer
17
Probability- Gravner- 80
After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means that the time $T$ of the call is uniformly distributed in the specified interval. (a) Compute the probability that the call arrives between $8.30$ and $8.20$.
After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means that th...
Pooja Khatri
570
views
Pooja Khatri
asked
Sep 27, 2018
Probability
probability
gravner
engineering-mathematics
random-variable
uniform-distribution
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–
0
votes
0
answers
18
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 ?
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 distributi...
ankitgupta.1729
718
views
ankitgupta.1729
asked
May 6, 2018
Probability
random-variable
uniform-distribution
+
–
4
votes
1
answer
19
ISI2017-MMA-17
Suppose that $X$ is chosen uniformly from $\{1,2,\ldots,100\}$ and given $X =x$, $Y$ is chosen uniformly from $\{1,2,\ldots,x\}. $Then $P(Y = 30)=$ $\dfrac{1}{100}$ $\dfrac{1}{100} \times \left(\dfrac{1}{30} + \ldots+\dfrac{1}{100}\right)$ $\dfrac{1}{30}$ $\dfrac{1}{100} \times \left(\dfrac{1}{1} + \ldots +\dfrac{1}{30}\right)$
Suppose that $X$ is chosen uniformly from $\{1,2,\ldots,100\}$ and given $X =x$, $Y$ is chosen uniformly from $\{1,2,\ldots,x\}. $Then $P(Y = 30)=$$\dfrac{1}{100}$$\dfrac...
jjayantamahata
1.5k
views
jjayantamahata
asked
Mar 27, 2018
Probability
isi2017-mma
engineering-mathematics
probability
uniform-distribution
+
–
5
votes
1
answer
20
Mathematics: Gate EE 17
Assume that in a traffic junction, the cycle of traffic signal lights is 2 minutes of green(vehicle does not stop) and 3 minutes of red (vehicle stops). Consider the arrival time of vehicles at the junction is uniformly distributed over 5 minute cycle. The expected waiting time in minutes for the vehicle at the junction is _________
Assume that in a traffic junction, the cycle of traffic signal lights is 2 minutes of green(vehicle does not stop) and 3 minutes of red (vehicle stops). Consider the arri...
Amitesh Sharma
4.8k
views
Amitesh Sharma
asked
Jun 28, 2017
Probability
probability
uniform-distribution
gate2017-ee
engineering-mathematics
numerical-answers
+
–
4
votes
1
answer
21
TIFR CSE 2016 | Part A | Question: 11
In one of the islands that his travels took him to, Gulliver noticed that the probability that a (uniformly) randomly chosen inhabitant has height at least $2$ meters is $0.2$. Also, $0.2$ is the probability that a a (uniformly) randomly ... Which of the above statements is necessarily true? ii only iii only i, ii and iii ii and iii only None of the above
In one of the islands that his travels took him to, Gulliver noticed that the probability that a (uniformly) randomly chosen inhabitant has height at least $2$ meters is ...
go_editor
646
views
go_editor
asked
Dec 28, 2016
Probability
tifr2016
probability
uniform-distribution
+
–
10
votes
3
answers
22
TIFR CSE 2016 | Part A | Question: 4
There are $n$ balls $b_1, \dots ,b_n$ and $n$ boxes. Each ball is placed in box chosen independently and uniformly at random. We say that $(b_i, b_j)$ is a $\textit{colliding pair}$ if $i<j$, and $b_i$ and $b_j$ are placed in the same box. What is the ... $\frac{n-1}{2}$ $0$ $1$ $\frac{n}{4}$ $\begin{pmatrix} n \\ 2 \end{pmatrix}$
There are $n$ balls $b_1, \dots ,b_n$ and $n$ boxes. Each ball is placed in box chosen independently and uniformly at random. We say that $(b_i, b_j)$ is a $\textit{colli...
go_editor
1.8k
views
go_editor
asked
Dec 26, 2016
Probability
tifr2016
probability
random-variable
uniform-distribution
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