Highest voted questions in Engineering Mathematics / GATE Overflow for GATE CSE

0 votes

0 answers

7531

Probability - Gravner-68.d
Each of $50$ students in class belongs to exactly one the four groups $A,B,C$ or $D$. The membership numbers for the four groups are as follows: $A:5,B:5,C:15,D:20$. First choose one of the $50$ students at random and let $X$ be the size of that student' ... of the randomly chosen group. Let EY= $\mu$ and Var(Y) = $\sigma$2 . Express EX with s, n, $\mu$ and $\sigma$.

Each of $50$ students in class belongs to exactly one the four groups $A,B,C$ or $D$. The membership numbers for the four groups are as follows: $A:5,B:5,C:15,D:20$. Firs...

Pooja Khatri

203 views

Pooja Khatri asked Sep 25, 2018

0 votes

0 answers

7532

Probability - Gravner-68.c
Each of $50$ students in class belongs to exactly one the four groups $A,B,C$ or $D$. The membership numbers for the four groups are as follows: $A:5,B:5,C:15,D:20$. First choose one of the $50$ students at random and let $X$ be the size of that student's group . Next, choose one the four groups at random and let $Y$ be its size. (c) Compute Var(X) and Var(Y).

Each of $50$ students in class belongs to exactly one the four groups $A,B,C$ or $D$. The membership numbers for the four groups are as follows: $A:5,B:5,C:15,D:20$. Firs...

Pooja Khatri

289 views

Pooja Khatri asked Sep 25, 2018

0 votes

0 answers

7533

Probability - Gravner-68.b
Each of $50$ students in class belongs to exactly one the four groups $A,B,C$ or $D$. The membership numbers for the four groups are as follows: $A:5,B:5,C:15,D:20$. First choose one of the $50$ students at random and let $X$ be the size of that student's group . Next, choose one the four groups at random and let $Y$ be its size. (b) Compute EX and EY.

Each of $50$ students in class belongs to exactly one the four groups $A,B,C$ or $D$. The membership numbers for the four groups are as follows: $A:5,B:5,C:15,D:20$. Firs...

Pooja Khatri

161 views

Pooja Khatri asked Sep 25, 2018

0 votes

0 answers

7534

Probability - Gravner-68.a
Each of $50$ students in class belongs to exactly one the four groups $A,B,C$ or $D$. The membership numbers for the four groups are as follows: $A:5,B:5,C:15,D:20$. First choose one of the $50$ students at random and let $X$ be the size of ... , choose one the four groups at random and let $Y$ be its size. (a) Write down the probability mass functions for $X$ and $Y$.

Each of $50$ students in class belongs to exactly one the four groups $A,B,C$ or $D$. The membership numbers for the four groups are as follows: $A:5,B:5,C:15,D:20$. Firs...

Pooja Khatri

171 views

Pooja Khatri asked Sep 25, 2018

0 votes

0 answers

7535

Probability - Gravner-67.a
You and your opponent both roll a fair die. If you both roll the same number, the game is repeated, otherwise whoever rolls the larger number wins. Let $N$ be the number of times the two dice have to be rolled before the game is decided. (a)Determine the probability mass function of N.

You and your opponent both roll a fair die. If you both roll the same number, the game is repeated, otherwise whoever rolls the larger number wins. Let $N$ be the number ...

Pooja Khatri

342 views

Pooja Khatri asked Sep 25, 2018

0 votes

1 answer

7536

Probability - Gravner-67.c
You and your opponent both roll a fair die. If you both roll the same number, the game is repeated, otherwise whoever rolls the larger number wins. Let $N$ be the number of times the two dice have to be rolled before the game is ... dollar for winning in the first round, 1 dollar for winning in any other round, and nothing otherwise.Compute your expected winnings .

You and your opponent both roll a fair die. If you both roll the same number, the game is repeated, otherwise whoever rolls the larger number wins. Let $N$ be the number ...

Pooja Khatri

391 views

Pooja Khatri asked Sep 25, 2018

0 votes

1 answer

7537

Probability - Gravner-67.b
You and your opponent both roll a fair die. If you both roll the same number, the game is repeated, otherwise whoever rolls the larger number wins. Let $N$ be the number of times the two dice have to be rolled before the game is decided. (b) Compute Probability you win

You and your opponent both roll a fair die. If you both roll the same number, the game is repeated, otherwise whoever rolls the larger number wins. Let $N$ be the number ...

Pooja Khatri

494 views

Pooja Khatri asked Sep 25, 2018

0 votes

0 answers

7538

Propositional Logic
Are the following first order logic formulae equivalent?

Are the following first order logic formulae equivalent?

srestha

421 views

srestha asked Sep 25, 2018

0 votes

0 answers

7539

Combinatorics
no of ways to select 22 people out of 40 people for cricket team of 11 each

no of ways to select 22 people out of 40 people for cricket team of 11 each

Raghav Khajuria

512 views

Raghav Khajuria asked Sep 25, 2018

0 votes

0 answers

7540

Permutation and Combination
How many solutions are there to the equation : X1 + X2 + .... + X5 = 21 0 <= X1 <= 3 , 1 <= X2 < 4 , and X3 >= 15 ? Please solve it without using Generating function

How many solutions are there to the equation :X1 + X2 + .... + X5 = 210 <= X1 <= 3 , 1 <= X2 < 4 , and X3 >= 15 ?Please solve it without using Generating function

Na462

717 views

Na462 asked Sep 25, 2018

0 votes

0 answers

7541

General query of Graph Theory
$1)$ Is there any general formula for maximum degree (if possible also minimum degree) of a vertex in a graph G? $2)$ Is there any relationship between indegree and outdegree of a graph?

$1)$ Is there any general formula for maximum degree (if possible also minimum degree) of a vertex in a graph G?$2)$ Is there any relationship between indegree and outdeg...

srestha

539 views

srestha asked Sep 25, 2018

0 votes

0 answers

7542

Doubt
How many ways 3 consecutive numbers can be chosen from numbers lying between 1-100?

How many ways 3 consecutive numbers can be chosen from numbers lying between 1-100?

aditi19

264 views

aditi19 asked Sep 25, 2018

0 votes

1 answer

7543

Probability - Gravner-66
You are dealt one card at random form a full deck and your opponent is dealt $2$ cards (Without any replacement ). If you get an Ace, he pays you $10$ dollar, if you get a King, he pays you $5$ dollar (regardless of his cards). If you have ... red cards, he pays you $1$ dollar. In all other cases you pay him $1$ dollar . Determine your expected earnings . Are they positive?

You are dealt one card at random form a full deck and your opponent is dealt $2$ cards (Without any replacement ). If you get an Ace, he pays you $10$ dollar, if you get ...

Pooja Khatri

357 views

Pooja Khatri asked Sep 25, 2018

0 votes

0 answers

7544

Probability - Gravner-65.d
A biologist needs at least $3$ mature specimens of certain plant. The plant needs a year to reach maturity; once a seed is planted, any plant will survive for the year with probability $1/1000$ (independently of other plants). The biologist plants $3000$ ... the biologist should plant in order to get at least $3$ mature plants in a year with probability at least $0.999$.

A biologist needs at least $3$ mature specimens of certain plant. The plant needs a year to reach maturity; once a seed is planted, any plant will survive for the year wi...

Pooja Khatri

322 views

Pooja Khatri asked Sep 25, 2018

0 votes

0 answers

7545

Probability - Gravner-65.c
A biologist needs at least $3$ mature specimens of certain plant. The plant needs a year to reach maturity; once a seed is planted, any plant will survive for the year with probability $1/1000$ (independently of other plants). The biologist plants $3000$ ... biologist plans to do this year after year. What is the probability that he has at least $2$ success in $10$ years?

A biologist needs at least $3$ mature specimens of certain plant. The plant needs a year to reach maturity; once a seed is planted, any plant will survive for the year wi...

Pooja Khatri

183 views

Pooja Khatri asked Sep 25, 2018

0 votes

0 answers

7546

Probability - Gravner-65.b
A biologist needs at least $3$ mature specimens of certain plant. The plant needs a year to reach maturity; once a seed is planted, any plant will survive for the year with probability $1/1000$ (independently of other plants). The ... these seeds reach maturity. (b) Write down a relevant approximate expression for the probability from(a).Justify briefly the approximation.

A biologist needs at least $3$ mature specimens of certain plant. The plant needs a year to reach maturity; once a seed is planted, any plant will survive for the year wi...

Pooja Khatri

174 views

Pooja Khatri asked Sep 25, 2018

0 votes

0 answers

7547

Probability - Gravner-65.a
A biologist needs at least $3$ mature specimens of certain plant. The plant needs a year to reach maturity; once a seed is planted, any plant will survive for the year with probability $1/1000$ (independently of other plants). The biologist ... ) Write down the exact expression for the probability that the biologist will indeed end up with at least $3$ mature plants.

A biologist needs at least $3$ mature specimens of certain plant. The plant needs a year to reach maturity; once a seed is planted, any plant will survive for the year wi...

Pooja Khatri

207 views

Pooja Khatri asked Sep 25, 2018

0 votes

0 answers

7548

Probability - Gravner-64.d
Roll a fair die repeatedly. Let X be the number of 6's in the first 10 rolls and let Y the number of rolls needed to obtain a 3. (d) Find an expression for $P(Y>10)$.

Roll a fair die repeatedly. Let X be the number of 6's in the first 10 rolls and let Y the number of rolls needed to obtain a 3.(d) Find an expression for $P(Y>10)$.

Pooja Khatri

337 views

Pooja Khatri asked Sep 25, 2018

0 votes

0 answers

7549

Probability - Gravner-64.c
Roll a fair die repeatedly. Let X be the number of 6's in the first 10 rolls and let Y the number of rolls needed to obtain a 3. (c) Find an expression $P$($X\geqslant 6$).

Roll a fair die repeatedly. Let X be the number of 6's in the first 10 rolls and let Y the number of rolls needed to obtain a 3.(c) Find an expression $P$($X\geqslant 6$)...

Pooja Khatri

168 views

Pooja Khatri asked Sep 25, 2018

0 votes

0 answers

7550

Probability - Gravner-64.b
Roll a fair die repeatedly. Let X be the number of 6's in the first 10 rolls and let Y the number of rolls needed to obtain a 3. (b) Write down the probability mass function of Y.

Roll a fair die repeatedly. Let X be the number of 6's in the first 10 rolls and let Y the number of rolls needed to obtain a 3.(b) Write down the probability mass functi...

Pooja Khatri

280 views

Pooja Khatri asked Sep 25, 2018

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