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Recent questions in Engineering Mathematics
3
votes
1
answer
8421
Probability
Suppose that the length of the phone calls in minutes is an exponential random variable with parameter $\lambda = 1/10$. If someone arrives immediately ahead of you at a public telephone booth, find the probability of that you will have to wait a) more than $10$ minutes (ans $0.368$) b) between $10$ and $20$ minutes (ans $0.233$)
Aditi Tiwari
asked
in
Probability
Oct 21, 2015
by
Aditi Tiwari
7.2k
views
probability
random-variable
11
votes
3
answers
8422
TIFR CSE 2011 | Part B | Question: 23
Suppose $(S_{1}, S_{2},\ldots,S_{m})$ is a finite collection of non-empty subsets of a universe $U.$ Note that the sets in this collection need not be distinct. Consider the following basic step to be performed on this sequence. While there exist ... finite universe $U$ and a choice of $S_{i}$ and $S_{j}$ in each step such that the process does not terminate
makhdoom ghaya
asked
in
Set Theory & Algebra
Oct 20, 2015
by
makhdoom ghaya
2.1k
views
tifr2011
set-theory&algebra
set-theory
3
votes
3
answers
8423
Find out the recurrence relation for the given problem
If $a_n$ is number of ternary sequences of length $n$ with even number of $0$'s, then the recurrence relation for $a_n$ is? Also find the value of $a_8$.
sampad
asked
in
Combinatory
Oct 20, 2015
by
sampad
3.7k
views
engineering-mathematics
combinatory
1
vote
2
answers
8424
Use generating function to solve question
Use generating function to determine the number of different ways 10 identical balloons can be given to 4 children if each children receives at least 2 balloons.
sampad
asked
in
Combinatory
Oct 20, 2015
by
sampad
3.1k
views
1
vote
2
answers
8425
What are the generators for the group G having multiplication modulo 6 as an operation?
What are the generators for the group G={1,2,3,4,5,6} having multiplication modulo 6 as an operation?
Nilam
asked
in
Set Theory & Algebra
Oct 19, 2015
by
Nilam
3.4k
views
set-theory&algebra
group-theory
generators
2
votes
1
answer
8426
What is the number of linearly independent solutions of a set of vectors taken from identity matrix?
radha gogia
asked
in
Linear Algebra
Oct 19, 2015
by
radha gogia
5.3k
views
2
votes
1
answer
8427
If rank of a matrix is n-1 then how is it that adjoint of matrix is not equal to zero ?
Clearly |A|=0 ,so A*adj A=0 now since A is not null therefore Adj A can be anything , is may or may not be null so how can we say directly that adj A is not equal to 0
radha gogia
asked
in
Linear Algebra
Oct 19, 2015
by
radha gogia
12.6k
views
1
vote
1
answer
8428
If we apply different elementary row transformation so does the unique solution vary ?
If the rank of a matrix is equal to the rank of augmented matrix then we get a unique solution , Now my ques is that I applied a different row transformation and got the values to be x=7/3 , y=-1/ ... given for this ques so that means they must have applied some other row transformation so how can it be unique ?
radha gogia
asked
in
Linear Algebra
Oct 19, 2015
by
radha gogia
1.5k
views
25
votes
7
answers
8429
TIFR CSE 2011 | Part A | Question: 19
Three dice are rolled independently. What is the probability that the highest and the lowest value differ by $4$? $\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{6}\right)$ $\left(\dfrac{1}{9}\right)$ $\left(\dfrac{5}{18}\right)$ $\left(\dfrac{2}{9}\right)$
Arjun
asked
in
Probability
Oct 19, 2015
by
Arjun
2.9k
views
tifr2011
probability
independent-events
6
votes
1
answer
8430
TIFR CSE 2011 | Part A | Question: 17
What is $\lim_{x \to 0} \frac{2^x-1}{x}$ $0$ $\log_2(e)$ $\log_e(2)$ $1$ None of the above
makhdoom ghaya
asked
in
Calculus
Oct 19, 2015
by
makhdoom ghaya
1.4k
views
tifr2011
limits
3
votes
1
answer
8431
symmetric matrix
Let $A =\begin{bmatrix} P & Q\\ R & Q\ \end{bmatrix}$. If $P,Q,R$ and $S$ are symmetric , What can you say about $A$?
yes
asked
in
Linear Algebra
Oct 19, 2015
by
yes
549
views
matrix
12
votes
4
answers
8432
TIFR CSE 2011 | Part A | Question: 14
The limit $\lim_{x \to 0} \frac{d}{dx}\,\frac{\sin^2 x}{x}$ is $0$ $2$ $1$ $\frac{1}{2}$ None of the above
makhdoom ghaya
asked
in
Calculus
Oct 19, 2015
by
makhdoom ghaya
2.3k
views
tifr2011
calculus
limits
21
votes
3
answers
8433
TIFR CSE 2011 | Part A | Question: 12
The action for this problem takes place in an island of Knights and Knaves, where Knights always make true statements and Knaves always make false statements and everybody is either a Knight or a Knave. Two friends A and B lives in a house. The census ... a Knave. A is a Knave and B is a Knight. Both are Knaves. Both are Knights. No conclusion can be drawn.
makhdoom ghaya
asked
in
Mathematical Logic
Oct 19, 2015
by
makhdoom ghaya
2.0k
views
tifr2011
mathematical-logic
propositional-logic
10
votes
3
answers
8434
TIFR CSE 2011 | Part A | Question: 11
$\int_{0}^{1} \log_e(x) dx=$ $1$ $-1$ $\infty $ $-\infty $ None of the above
makhdoom ghaya
asked
in
Calculus
Oct 19, 2015
by
makhdoom ghaya
2.4k
views
tifr2011
calculus
definite-integral
1
vote
0
answers
8435
Graph
Find Maximum and Minimum no of edges in a graph G with n vertices if G has 3 component with 2 non acyclic and 1 acyclic component?
saurav04
asked
in
Graph Theory
Oct 18, 2015
by
saurav04
219
views
21
votes
3
answers
8436
TIFR CSE 2011 | Part A | Question: 10
Let $m$, $n$ denote two integers from the set $\{1, 2,\dots,10\}$. The number of ordered pairs $\left ( m, n \right )$ such that $2^{m}+2^{n}$ is divisible by $5$ is. $10$ $14$ $24$ $8$ None of the above
makhdoom ghaya
asked
in
Set Theory & Algebra
Oct 17, 2015
by
makhdoom ghaya
2.0k
views
tifr2011
set-theory&algebra
set-theory
23
votes
3
answers
8437
TIFR CSE 2011 | Part A | Question: 9
You have to play three games with opponents $A$ and $B$ in a specified sequence. You win the series if you win two consecutive games. $A$ is a stronger player than $B$. Which sequence maximizes your chance of winning the series? $AAB$ $ABA$ $BAB$ $BAA$ All are the same.
makhdoom ghaya
asked
in
Probability
Oct 17, 2015
by
makhdoom ghaya
2.1k
views
tifr2011
probability
conditional-probability
14
votes
1
answer
8438
TIFR CSE 2011 | Part A | Question: 7
Let $X$ and $Y$ be two independent and identically distributed random variables. Then $P\left ( X> Y \right )$ is. $\frac{1}{2}$ 1 0 $\frac{1}{3}$ Information is insufficient.
makhdoom ghaya
asked
in
Probability
Oct 17, 2015
by
makhdoom ghaya
1.9k
views
tifr2011
probability
random-variable
19
votes
4
answers
8439
TIFR CSE 2011 | Part A | Question: 6
Assume that you are flipping a fair coin, i.e. probability of heads or tails is equal. Then the expected number of coin flips required to obtain two consecutive heads for the first time is. $4$ $3$ $6$ $10$ $5$
makhdoom ghaya
asked
in
Probability
Oct 17, 2015
by
makhdoom ghaya
5.9k
views
tifr2011
probability
expectation
10
votes
2
answers
8440
TIFR CSE 2011 | Part A | Question: 4
Consider the problem of maximizing $x^{2}-2x+5$ such that $0< x< 2$. The value of $x$ at which the maximum is achieved is: $0.5$ $1$ $1.5$ $1.75$ None of the above
makhdoom ghaya
asked
in
Calculus
Oct 17, 2015
by
makhdoom ghaya
1.7k
views
tifr2011
calculus
maxima-minima
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