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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 $x=\dfrac{-b \pm \sqrt{b^2-4 a c}}{2a}$. $1 / 2$ $1 / 4$ $1 / 8$ $1 / 16$

GO Classes asked in Probability Feb 5

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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 $P(x \geq y)$

GO Classes asked in Probability Feb 4

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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 $|S \cap T|=\frac{n}{4}$.

admin asked in Probability Dec 15, 2022

by admin

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5 votes

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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, $p=0$ $p=\frac{1}{n^m}$ $0<p \leq \frac{1}{m^n}$ $p=\frac{1}{m}$ $p=\frac{1}{n}$

admin asked in Probability Sep 1, 2022

by admin

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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

admin asked in Probability Sep 1, 2022

by admin

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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 $i \neq n$

admin asked in Probability Sep 1, 2022

by admin

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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

makhdoom ghaya asked in Study Resources Aug 15, 2022

by makhdoom ghaya

323 views

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 ____

LRU asked in Probability Jan 27, 2022

by LRU

489 views

24 votes

2 answers

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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______________

Arjun asked in Probability Feb 12, 2020

by Arjun

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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 $i\neq n$

admin asked in Probability Feb 10, 2020

by admin

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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) _______

Arjun asked in Probability Feb 7, 2019

by Arjun

16.1k views

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1 answer

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Ace Test Series: Probability - Uniform Distribution

Na462 asked in Probability Feb 2, 2019

by Na462

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1 vote

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aditi19 asked in Probability Dec 8, 2018

347 views

1 vote

0 answers

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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?

Mk Utkarsh asked in Probability Oct 5, 2018

779 views

1 vote

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 $M$.

Pooja Khatri asked in Probability Sep 27, 2018

by Pooja Khatri

668 views

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1 answer

16

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?

Pooja Khatri asked in Probability Sep 27, 2018

by Pooja Khatri

426 views

0 votes

1 answer

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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 $8.20$.

Pooja Khatri asked in Probability Sep 27, 2018

by Pooja Khatri

573 views

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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 ?

ankitgupta.1729 asked in Probability May 6, 2018

by ankitgupta.1729

715 views

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 $P(Y = 30)=$ $\dfrac{1}{100}$ $\dfrac{1}{100} \times \left(\dfrac{1}{30} + \ldots+\dfrac{1}{100}\right)$ $\dfrac{1}{30}$ $\dfrac{1}{100} \times \left(\dfrac{1}{1} + \ldots +\dfrac{1}{30}\right)$

jjayantamahata asked in Probability Mar 27, 2018

by jjayantamahata

1.5k views

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 _________

Amitesh Sharma asked in Probability Jun 28, 2017

by Amitesh Sharma

4.8k views

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

go_editor asked in Probability Dec 28, 2016

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10 votes

3 answers

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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 ... $\frac{n-1}{2}$ $0$ $1$ $\frac{n}{4}$ $\begin{pmatrix} n \\ 2 \end{pmatrix}$

go_editor asked in Probability Dec 26, 2016

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Recent questions tagged uniform-distribution