Syllabus: Random variables, Uniform, Normal, Exponential, Poisson and Binomial distributions. Mean, median, mode and standard deviation. Conditional probability and Bayes theorem

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2024-1} &\textbf{2024-2} &\textbf{2023} &\textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} &2&1&0& 0 &1&1&0&0.83&2
\\\hline\textbf{2 Marks Count} & 1&1&1&0 &2&2&0&1.16&2
\\\hline\textbf{Total Marks} & 4&3&2&0 &5&5&\bf{0}&\bf{3.16}&\bf{5}\\\hline
\end{array}}}$$

Recent questions in Probability

3 votes

1 answer

TIFR CS & SS 2018 SS part Question 12
Suppose that Amitabh Bachchan has ten coins in his pocket. 3 coins have tails on both sides. 4 coins have heads on both sides. 3 coins have heads on one side and tails on the other and both the outcomes are equally likely when that coin is ... coins, flips it and finds that the outcome is tails. What is the probability that the other side of this coin is heads?

Suppose that Amitabh Bachchan has ten coins in his pocket. 3 coins have tails on both sides. 4 coins have heads on both sides. 3 coins have heads on one side and tails on...

analyse

708 views

analyse asked Nov 22, 2022

1 votes

1 answer

A First Course In Probability, 9th Edition, Indian Version, Sheldon Ross, Chapter 3, Problems, 33.
The meteorology department predicts the rain correctly with a probability of 4/5. When rain is predicted Amit travels by his car. When rain is not forecasted, he travels with his car with a probability of ... a probability of 1/2. Find the probability that Amit does not travel by car given it rains.

The meteorology department predicts the rain correctly with a probability of 4/5. When rain is predicted Amit travels by his car. When rain is not forecasted, he travels ...

lolalo

991 views

lolalo asked Sep 10, 2022

0 votes

2 answers

TIFR CSE 2022 | Part A | Question: 2
We would like to invite a minimum number $n$ of people (their birthdays are independent of each other) to a party such that the expected number of pairs of people that share the same birthday is at least $1.$ What should $n$ be? (Ignore leap years, so ... birthdays fall with equal probability on each of the $365$ days of the year.) $23$ $28$ $92$ $183$ $366$

We would like to invite a minimum number $n$ of people (their birthdays are independent of each other) to a party such that the expected number of pairs of people that sh...

admin

844 views

admin asked Sep 1, 2022

5 votes

1 answer

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

486 views

admin asked Sep 1, 2022

0 votes

1 answer

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

628 views

admin asked Sep 1, 2022

1 votes

1 answer

TIFR CSE 2022 | Part A | Question: 10
Consider a bag containing colored marbles. There are $n$ marbles in the bag such that there is exactly one pair of marbles of color $i$ for each $i \in\{1, \ldots, m\}$ and the rest of the marbles are of distinct colors (different from colors $\{1, \ldots, m\}$ ). You draw ... $\frac{2m}{n}$ $\frac{2m}{n(n-1)}$ $\frac{2m}{n^2}$ $\frac{m}{n(n-1)}$

Consider a bag containing colored marbles. There are $n$ marbles in the bag such that there is exactly one pair of marbles of color $i$ for each $i \in\{1, \ldots, m\}$ a...

admin

608 views

admin asked Sep 1, 2022

1 votes

1 answer

TIFR CSE 2022 | Part A | Question: 12
Alice plays the following game on a math show. There are $7$ boxes and identical prizes are hidden inside $3$ of the boxes. Alice is asked to choose a box where a prize might be. She chooses a box uniformly at random. From the unchosen boxes which do not have a prize, ... ). Her probability of winning the prize is $3 / 7$ $1 / 2$ $17 / 30$ $18 / 35$ $9 / 19$

Alice plays the following game on a math show. There are $7$ boxes and identical prizes are hidden inside $3$ of the boxes. Alice is asked to choose a box where a prize m...

admin

543 views

admin asked Sep 1, 2022

0 votes

1 answer

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

499 views

admin asked Sep 1, 2022

4 votes

2 answers

maths probability
A dice is tossed seven times. What is the probability that all six faces appear at least once?

A dice is tossed seven times. What is the probability that all six faces appear at least once?

jugnu1337

504 views

jugnu1337 asked Aug 15, 2022

0 votes

1 answer

A First Course In Probability, 9th Edition, Indian Version, Sheldon Ross, Chapter 2, Problems, 18.
A deck consists of 52 playing cards which is well shuffled. Draw 6 cards. Find the probability that among the cards there will be a representative of all suits? can someone get to this answer –-→ 6283420/20358520

A deck consists of 52 playing cards which is well shuffled. Draw 6 cards. Find the probability that among the cards there will be a representative of all suits?can someon...

lolalo

481 views

lolalo asked Jul 28, 2022

1 votes

0 answers

maths
A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second card ?

A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability th...

jugnu1337

273 views

jugnu1337 asked Jul 19, 2022

1 votes

1 answer

ISI Kolkata | MMA | 2022 --- A lie detector determines correctly ....
Picture of question

Picture of question

anupamsworld

590 views

anupamsworld asked Jun 6, 2022

1 votes

0 answers

ISI2020-PCB-10
Let $X_i\sim (i.i.d) Bernoulli(\frac{\lambda}{n}),n\geq\lambda\geq 0$. $Y_i\sim (i.i.d) Poisson(\frac{\lambda}{n})$, $\{X_i\}$ and $\{Y_i\}$ are independent. Let $\sum_{i=1}^{n^2} X_i=T_n$ and $\sum_{i=1}^{n^2} Y_i=S_n$ (say). Find the limiting distribution of $\frac{T_n}{S_n}$ as $n\to \infty$.

Let $X_i\sim (i.i.d) Bernoulli(\frac{\lambda}{n}),n\geq\lambda\geq 0$. $Y_i\sim (i.i.d) Poisson(\frac{\lambda}{n})$, $\{X_i\}$ and $\{Y_i\}$ are independent. Let $\sum_{i...

sd4867

247 views

sd4867 asked May 6, 2022

4 votes

1 answer

Gate 2002 Question with a change.
A box contains 10 screws, 3 of which are defective. Two screws are drawn at random with out replacement. The probability that none of the two screws is defective will be .. This is a same question from Gate 2002, but it is having a small change, can anyone help me to find method to find it's answer.

A box contains 10 screws, 3 of which are defective. Two screws are drawn at random with out replacement. The probability that none of the two screws is defective will be ...

ProtonicRED

541 views

ProtonicRED asked Mar 8, 2022

0 votes

1 answer

TIFR 2011
There are N boxes, each containing at most r balls. If the number of boxes containing at least i balls is $N_{i}$ for i = 1,2,...r, then the total number of balls contained in these N boxes (A) is exactly equal to $N_{1}$ +$N_{2}$ +...+$N_{r}$. (B) is strictly ... ...+$N_{r}$. (C) is strictly smaller than $N_{1}$ +$N_{2}$ +...+$N_{r}$. (D) cannot be determined from the given information

There are N boxes, each containing at most r balls. If the number of boxes containing at least i balls is $N_{i}$ for i = 1,2,...r, then the total number of balls contain...

rsansiya111

791 views

rsansiya111 asked Feb 24, 2022

0 votes

0 answers

Probability
A survey was conducted with recent MBAs of two different universities about their annual incomes. The following table displays data collected. Annual Income University X University Y Total Under 8L 36 24 60 8L to 12L 109 56 165 12L and above 35 40 75 Total ... the probability that an MBA gets salary less than 8L? What is the probability that an MBA from university Y earns 10L annually?

A survey was conducted with recent MBAs of two different universities about their annual incomes. The following table displays data collected.Annual IncomeUniversity XUni...

__medhaa

546 views

__medhaa asked Feb 8, 2022

0 votes

1 answer

Probability
Use the following data. Have pets Do not have pets Total Men 0.41 0.08 0.49 Women 0.45 0.06 0.51 Total 0.86 0.14 1 What is the probability of a randomly selected person being a man, given that they do not own a pet? What is the probability for a woman to be a pet owner? How likely is that a randomly selected person is a pet owner man?

Use the following data. Have petsDo not have petsTotalMen0.410.080.49Women0.450.060.51Total0.860.141What is the probability of a randomly selected person being a man, giv...

__medhaa

1.1k views

__medhaa asked Feb 8, 2022

2 votes

1 answer

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

522 views

LRU asked Jan 27, 2022

1 votes

0 answers

GATE Applied Mock Test
3 -1 1 2

3-112

yashpaneliya

580 views

yashpaneliya asked Jan 24, 2022

0 votes

1 answer

100

Applied Mock Test
Among individuals who have sustained head injuries, x-rays reveal that only about 6% have skull fractures. Nausea is a standard symptom of a skull fracture and occurs in 98% of all skull fracture cases with other types of head injuries, nausea is present ... an individual who has just suffered a head injury is not nauseous. Find the probability that he has a skull fracture _____

Among individuals who have sustained head injuries, x-rays reveal that only about 6% have skull fractures. Nausea is a standard symptom of a skull fracture and occurs in ...

LRU

413 views

LRU asked Dec 29, 2021

Page:

« prev
1
2
3
4
5
6
7
8
9
10
...
71
next »

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