Recent questions in Engineering Mathematics / GATE Overflow for GATE CSE

12 votes

3 answers

8841

TIFR CSE 2013 | Part A | Question: 13
Doctors $A$ and $B$ perform surgery on patients in stages $III$ and $IV$ of a disease. Doctor $A$ has performed a $100$ surgeries (on $80$ stage $III$ and $20$ stage $IV$ patients) and $80$ out of her $100$ patients ... she appears to be more successful There is not enough data since the choice depends on the stage of the disease the patient is suffering from.

Doctors $A$ and $B$ perform surgery on patients in stages $III$ and $IV$ of a disease. Doctor $A$ has performed a $100$ surgeries (on $80$ stage $III$ and $20$ stage $IV$...

makhdoom ghaya

1.4k views

makhdoom ghaya asked Nov 4, 2015

22 votes

5 answers

8842

TIFR CSE 2013 | Part A | Question: 9
There are $n$ kingdoms and $2n$ champions. Each kingdom gets $2$ champions. The number of ways in which this can be done is: $\frac{\left ( 2n \right )!}{2^{n}}$ $\frac{\left ( 2n \right )!}{n!}$ $\frac{\left ( 2n \right )!}{2^{n} . n!}$ $\frac{n!}{2}$ None of the above

There are $n$ kingdoms and $2n$ champions. Each kingdom gets $2$ champions. The number of ways in which this can be done is:$\frac{\left ( 2n \right )!}{2^{n}}$$\frac{\le...

makhdoom ghaya

3.3k views

makhdoom ghaya asked Nov 4, 2015

1 votes

1 answer

8843

integration 10[IN]
http://gateforum.com/wp-content/uploads/2013/01/IN-2010.pdf Question 21 The integral $\int _{-\infty} ^{\infty}\delta (t-\frac{\pi}{6})6\sin(t)dt$ evaluates to (A).6 (B).3 (c).1.5 (D).0

http://gateforum.com/wp-content/uploads/2013/01/IN-2010.pdf Question 21The integral $\int _{-\infty} ^{\infty}\delta (t-\frac{\pi}{6})6\sin(t)dt$ evaluates to(A).6(B).3(c...

monali

1.3k views

monali asked Nov 4, 2015

1 votes

2 answers

8844

integral
http://gateforum.com/wp-content/uploads/2013/01/EC-2005.pdf question 35 .....

http://gateforum.com/wp-content/uploads/2013/01/EC-2005.pdfquestion 35 .....

monali

579 views

monali asked Nov 4, 2015

4 votes

1 answer

8845

integration
Please solve the following integration problem $\int_{0}^{\infty}{ y^{\frac{1}{2} }}e^{-y^3}dx$ I want full explanation. please help me ?

Please solve the following integration problem$\int_{0}^{\infty}{ y^{\frac{1}{2} }}e^{-y^3}dx$I want full explanation. please help me ?

monali

2.4k views

monali asked Nov 4, 2015

2 votes

1 answer

8846

probability
a man appeared for a job interview in companies A,B,C,D . the probability of getting job in A,B,C,D are 0.6,0.5,0.5 and 0.7 . the probability that the candidate will get the job is ?

a man appeared for a job interview in companies A,B,C,D . the probability of getting job in A,B,C,D are 0.6,0.5,0.5 and 0.7 . the probability that the candidate will ge...

monali

482 views

monali asked Nov 4, 2015

19 votes

7 answers

8847

TIFR CSE 2013 | Part A | Question: 6
You are lost in the National park of Kabrastan. The park population consists of tourists and Kabrastanis. Tourists comprise two-thirds of the population the park and give a correct answer to requests for directions with probability $\dfrac{3}{4}$. The air of Kabrastan has an ... $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{2}{3}\right)$ $\left(\dfrac{3}{4}\right)$

You are lost in the National park of Kabrastan. The park population consists of tourists and Kabrastanis. Tourists comprise two-thirds of the population the park and give...

makhdoom ghaya

3.3k views

makhdoom ghaya asked Nov 4, 2015

11 votes

1 answer

8848

TIFR CSE 2013 | Part A | Question: 4
A biased coin is tossed repeatedly. Assume that the outcomes of different tosses are independent and probability of heads is $\dfrac{2}{3}$ in each toss. What is the probability of obtaining an even number of heads in $5$ tosses, zero being treated as an even ... $\left(\dfrac{124}{243}\right)$ $\left(\dfrac{125}{243}\right)$ $\left(\dfrac{128}{243}\right)$

A biased coin is tossed repeatedly. Assume that the outcomes of different tosses are independent and probability of heads is $\dfrac{2}{3}$ in each toss. What is the prob...

makhdoom ghaya

1.6k views

makhdoom ghaya asked Nov 4, 2015

18 votes

3 answers

8849

TIFR CSE 2013 | Part A | Question: 3
Three candidates, Amar, Birendra and Chanchal stand for the local election. Opinion polls are conducted and show that fraction $a$ of the voters prefer Amar to Birendra, fraction $b$ prefer Birendra to Chanchal and fraction $c$ ... $(a, b, c) = (0.49, 0.49, 0.49);$ None of the above.

Three candidates, Amar, Birendra and Chanchal stand for the local election. Opinion polls are conducted and show that fraction $a$ of the voters prefer Amar to Birendra, ...

makhdoom ghaya

2.5k views

makhdoom ghaya asked Nov 4, 2015

7 votes

3 answers

8850

TIFR CSE 2013 | Part A | Question: 1
An infinite two-dimensional pattern is indicated below. The smallest closed figure made by the lines is called a unit triangle. Within every unit triangle, there is a mouse. At every vertex there is a laddoo. What is the average number of laddoos per mouse? $\quad 3$ $\quad 2$ $\quad 1$ $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{1}{3}\right)$

An infinite two-dimensional pattern is indicated below.The smallest closed figure made by the lines is called a unit triangle. Within every unit triangle, there is a mous...

makhdoom ghaya

1.6k views

makhdoom ghaya asked Nov 4, 2015

2 votes

1 answer

8851

calculus
Differentiate with respect to x 1)sin-1(sin x) x∈[0,2π] 2)cos-1(cos x) x∈[0,2π] 3)tan-1(tan x) x∈[0,π]-{π/2} Also find pts where function is not differentiable...

Differentiate with respect to x1)sin-1(sin x) x∈[0,2π]2)cos-1(cos x) x∈[0,2π]3)tan-1(tan x) x∈[0,π]-{π/2}Also find pts where function is no...

Pooja Palod

2.4k views

Pooja Palod asked Nov 3, 2015

3 votes

1 answer

8852

no of connected component
if G and G* are isomorphic graphs , then no of connected components of G* if G has connected components, are

if G and G* are isomorphic graphs , then no of connected components of G* if G has connected components, are

monali

2.1k views

monali asked Nov 2, 2015

5 votes

0 answers

8853

minimum no of spanning tree in a connected tress with n nodes?

monali

5.2k views

monali asked Nov 2, 2015

6 votes

2 answers

8854

no of different rooted labeled trees with n vertices ?

monali

5.5k views

monali asked Nov 2, 2015

2 votes

1 answer

8855

math
Draw a eular graph which is not hamiltonian

Draw a eular graph which is not hamiltonian

srestha

590 views

srestha asked Nov 2, 2015

6 votes

1 answer

8856

discrete math
Give an example where distributive lattice is not complemented lattice? Is always distributive lattice bounded?

Give an example where distributive lattice is not complemented lattice?Is always distributive lattice bounded?

srestha

8.2k views

srestha asked Nov 2, 2015

3 votes

2 answers

8857

probability
A and B play game in whic they toss coin 3 times.The one obtaining heads first wins the game.If A tosses coin first and if total value of stake is Rs 20.How much should be contributed by B in order that game is fair?

A and B play game in whic they toss coin 3 times.The one obtaining heads first wins the game.If A tosses coin first and if total value of stake is Rs 20.How much should b...

Pooja Palod

781 views

Pooja Palod asked Nov 2, 2015

13 votes

1 answer

8858

random variables
Consider two independent random variables $X$ and $Y$ with identical distributions.The variables $X$ and $Y$ take value $0, 1$ and $2$ with probabilities $\frac{1}{2},\frac{1}{4}$ $and$ $\frac{1}{4}$ respectively. What is conditional probability $P\left [ \frac{X+Y=2}{X-Y=0} \right ]?$

Consider two independent random variables $X$ and $Y$ with identical distributions.The variables $X$ and $Y$ take value $0, 1$ and $2$ with probabilities $\frac{1}{2},\fr...

Pooja Palod

4.8k views

Pooja Palod asked Nov 2, 2015

2 votes

2 answers

8859

probability
Manish has to travel from A to D changing buses at stops B and C enroute.The maximum waiting time at either stop can be 8 minutes each,but any time of waiting upto 8 minutes is equally likely at both places.He can afford upto 13 minutes of waiting time if he is to arrive at D on time,What is probability Manish will arrive late at D?

Manish has to travel from A to D changing buses at stops B and C enroute.The maximum waiting time at either stop can be 8 minutes each,but any time of waiting upto 8 minu...

Pooja Palod

2.6k views

Pooja Palod asked Nov 2, 2015

3 votes

1 answer

8860

probability
1)Among 10000 random digits find probability P that digit 3 appears at most 950 times.(area under normal between Z=0 and Z=1.67 is 0..4525) 2)A die is tossed 180 times .using normal distribution find probability that face 4 willnturn up atleat 35 times..(area under normal curve between Z=0 and z=1 is 0.3413)

1)Among 10000 random digits find probability P that digit 3 appears at most 950 times.(area under normal between Z=0 and Z=1.67 is 0..4525)2)A die is tossed 180 times .us...

Pooja Palod

4.0k views

Pooja Palod asked Nov 2, 2015

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