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Sheldon Ross, Chapter #4, Question #13
An airline operates a flight having 50 seats. As they expect some passenger to not show up, they overbook the flight by selling 51 tickets. The probability that an individual passenger will not show up is 0.01, independent of all other ... the airline has to pay a compensation of Rs.1lakh to that passenger. What is the expected revenue of the airline?
asked
May 21
in
Probability
by
Asim Siddiqui 4
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809
points)

13
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probability
randomvariable
sheldonross
0
votes
1
answer
2
Made Easy Test Series:Lattice
The number of totally ordered set compatible to the given POSET are __________
asked
May 20
in
Set Theory & Algebra
by
srestha
Veteran
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114k
points)

29
views
madeeasytestseries
lattice
0
votes
1
answer
3
Discrete mathematics #TEST_BOOK
I Have doubt about the language. Is it asking about the sum of elements if we make the GBL set for the given lattice .
asked
May 20
in
Set Theory & Algebra
by
Shawn Frost
(
41
points)

25
views
#discrete
#lattice
+1
vote
1
answer
4
GateForum Question Bank :Graph Theory
What is the probability that there is an edge in an undirected random graph having 8 vertices? 1 1/8
asked
May 19
in
Graph Theory
by
Hirak
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2k
points)

51
views
graphtheory
discretemathematics
0
votes
2
answers
5
Made Easy Test Series:Discrete MathematicsPoset
Consider the following Posets: $I)\left ( \left \{ 1,2,5,7,10,14,35,70 \right \},\leq \right )$ $II)\left ( \left \{ 1,2,3,6,14,21,42 \right \},/ \right )$ $III)\left ( \left \{ 1,2,3,6,11,22,33,66 \right \},/ \right )$ Which of the above poset are isomorphic to $\left ( P\left ( S \right ),\subseteq \right )$ where $S=\left \{ a,b,c \right \}?$
asked
May 18
in
Set Theory & Algebra
by
srestha
Veteran
(
114k
points)

30
views
poset
madeeasytestseries
discretemathematics
0
votes
0
answers
6
Self Doubt:Mathematical Logic
Represent these two statement in first order logic: $A)$ Only Alligators eat humans $B)$ Every Alligator eats humans Is Every represents $\equiv \exists$ and Only represents $\equiv \forall$ ?? Can we differentiate it with verb ‘eat’ and ‘eats’??
asked
May 18
in
Mathematical Logic
by
srestha
Veteran
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114k
points)

13
views
discretemathematics
mathematicallogic
firstorderlogic
0
votes
0
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7
Discrete Mathematics by Kenneth Rosen,section2.4,recursive functions
$C_{a}^{k}:\mathbb{N}^{k}\rightarrow \mathbb{N}$ I am studying discrete math from beginnings and came across this term in primitive recursive function.I don't know what $C_{a}^{k}$ means and does $\mathbb{N}$ means set of natural numbers?Someone please help me out.
asked
May 15
in
Set Theory & Algebra
by
souren
(
21
points)

31
views
discretemathematics
settheory&algebra
kennethrosen
0
votes
1
answer
8
Recurrence Relation SelfDoubt
What will be solution of recurrence relation if roots are like this: r1=2, r2=2, r3=2, r4=2 is this the case of repetitive roots?
asked
May 14
in
Combinatory
by
aditi19
Active
(
3.5k
points)

28
views
relations
recurrence
recurrenceeqation
discretemathematics
combinational
0
votes
0
answers
9
Rosen 7e Exercise 8.2 Questionno26 page no525 Recurrence Relation
What is the general form of the particular solution guaranteed to exist of the linear nonhomogeneous recurrence relation $a_n$=$6a_{n1}$$12a_{n2}$+$8a_{n3}$+F(n) if F(n)=$n^2$ F(n)=$2^n$ F(n)=$n2^n$ F(n)=$(2)^n$ F(n)=$n^22^n$ F(n)=$n^3(2)^n$ F(n)=3
asked
May 14
in
Combinatory
by
aditi19
Active
(
3.5k
points)

24
views
kennethrosen
discretemathematics
#recurrencerelations
recurrence
0
votes
0
answers
10
Rosen 7e Exercise8.2 Question no23 page no525 Recurrence Relation
Consider the nonhomogeneous linear recurrence relation $a_n$=$3a_{n1}$+$2^n$ in the book solution is given $a_n$=$2^{n+1}$ but I’m getting $a_n$=$3^{n+1}2^{n+1}$
asked
May 13
in
Combinatory
by
aditi19
Active
(
3.5k
points)

17
views
kennethrosen
discretemathematics
#recurrencerelations
recurrence
0
votes
2
answers
11
#probability(self doubt)
An automobile showroom has 10 cars, 2 of which are defective. If you are going to buy the 6th car sold that day at random, then the probability of selecting a defective car is??
asked
May 13
in
Combinatory
by
G Shaheena
Active
(
1.2k
points)

30
views
#probability
self
doubt
0
votes
1
answer
12
ACE Workbook:
ACE Workbook: Q) Let G be a simple graph(connected) with minimum number of edges. If G has n vertices with degree1,2 vertices of degree 2, 4 vertices of degree 3 and 3 vertices of degree4, then value of n is ? Can anyone give the answer and how to approach these problems. Thanks in advance.
asked
May 12
in
Graph Theory
by
chandan2teja
(
23
points)

37
views
graphtheory
0
votes
1
answer
13
#GATE 2014 IN
asked
May 12
in
Linear Algebra
by
Aishvarya Akshaya Vi
(
35
points)

22
views
0
votes
1
answer
14
ISI2018PCBB3
An $n$variable Boolean function $f:\{0,1\}^n \rightarrow \{0,1\} $ is called symmetric if its value depends only on the number of $1’s$ in the input. Let $\sigma_n $ denote the number of such functions. Calculate the value of $\sigma_4$. Derive an expression for $\sigma_n$ in terms of $n$.
asked
May 12
in
Set Theory & Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

10
views
isi2018pcbb
engineeringmathematics
discretemathematics
settheory&algebra
functions
descriptive
0
votes
1
answer
15
ISI2018PCBA4
Let $A$ and $B$ are two nonempty finite subsets of $\mathbb{Z}$, the set of all integers. Define $A+B=\{a+b:a\in A,b\in B\}$.Prove that $A+B\geq A +B 1 $, where $S$ denotes the cardinality of finite set $S$.
asked
May 12
in
Set Theory & Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

16
views
isi2018pcba
engineeringmathematics
discretemathematics
settheory&algebra
descriptive
+1
vote
1
answer
16
ISI2018PCBA1
Consider a $n \times n$ matrix $A=I_n\alpha\alpha^T$, where $I_n$ is the $n\times n$ identity matrix and $\alpha$ is an $n\times 1$ column vector such that $\alpha^T\alpha=1$.Show that $A^2=A$.
asked
May 12
in
Linear Algebra
by
akash.dinkar12
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(
40.5k
points)

30
views
isi2018pcba
engineeringmathematics
linearalgebra
matrices
descriptive
0
votes
0
answers
17
ISI2018MMA28
Consider the following functions $f(x)=\left\{\begin{matrix} 1 &, if\ x \leq 1 \\ 0 & ,if\ x>1 \end{matrix}\right.$ ... at $ 1$ $h_2$ is continuous everywhere and $h_1$ has discontinuity at $ 2$ $h_1$ has discontinuity at $ 2$ and $h_2$ has discontinuity at $ 1$.
asked
May 11
in
Calculus
by
akash.dinkar12
Boss
(
40.5k
points)

19
views
isi2018
engineeringmathematics
calculus
continuity
0
votes
0
answers
18
ISI2018MMA30
Consider the function $f(x)=\bigg(1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\dots+\frac{x^n}{n!}\bigg)e^{x}$, where $n\geq4$ is a positive integer. Which of the following statements is correct? $f$ has no local maximum For every $n$, $f$ has a local maximum at $x = 0$ ... at $x = 0$ when $n$ is even $f$ has no local extremum if $n$ is even and has a local maximum at $x = 0$ when $n$ is odd.
asked
May 11
in
Calculus
by
akash.dinkar12
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(
40.5k
points)

31
views
isi2018
engineeringmathematics
calculus
maximaminima
0
votes
0
answers
19
ISI2018MMA29
Let $f$ be a continuous function with $f(1) = 1$. Define $F(t)=\int_{t}^{t^2}f(x)dx$. The value of $F’(1)$ is $2$ $1$ $1$ $2$
asked
May 11
in
Calculus
by
akash.dinkar12
Boss
(
40.5k
points)

33
views
isi2018
engineeringmathematics
calculus
integration
+1
vote
1
answer
20
ISI2018MMA26
Let $C_i(i=0,1,2...n)$ be the coefficient of $x^i$ in $(1+x)^n$.Then $\frac{C_0}{2} – \frac{C_1}{3}+\frac{C_2}{4}\dots +(1)^n \frac{C_n}{n+2}$ is equal to $\frac{1}{n+1}\\$ $\frac{1}{n+2}\\$ $\frac{1}{n(n+1)}\\$ $\frac{1}{(n+1)(n+2)}$
asked
May 11
in
Combinatory
by
akash.dinkar12
Boss
(
40.5k
points)

99
views
isi2018
engineeringmathematics
discretemathematics
generatingfunctions
0
votes
1
answer
21
ISI2018MMA20
Consider the set of all functions from $\{1, 2, . . . ,m\}$ to $\{1, 2, . . . , n\}$,where $n > m$. If a function is chosen from this set at random, the probability that it will be strictly increasing is $\binom{n}{m}/n^m\\$ $\binom{n}{m}/m^n\\$ $\binom{m+n1}{m1}/n^m\\$ $\binom{m+n1}{m}/m^n$
asked
May 11
in
Probability
by
akash.dinkar12
Boss
(
40.5k
points)

22
views
isi2018
engineeringmathematics
probability
0
votes
1
answer
22
ISI2018MMA19
Let $X_1,X_2, . . . ,X_n$ be independent and identically distributed with $P(X_i = 1) = P(X_i = −1) = p\ $and$ P(X_i = 0) = 1 − 2p$ for all $i = 1, 2, . . . , n.$ ... $a_n \rightarrow p, b_n \rightarrow p,c_n \rightarrow 12p$ $a_n \rightarrow1/2, b_n \rightarrow1/2,c_n \rightarrow0$ $a_n \rightarrow0, b_n \rightarrow0,c_n \rightarrow1$
asked
May 11
in
Calculus
by
akash.dinkar12
Boss
(
40.5k
points)

23
views
isi2018
engineeringmathematics
calculus
limits
0
votes
1
answer
23
ISI2018MMA18
Let $A_1 = (0, 0), A_2 = (1, 0), A_3 = (1, 1)\ $and$\ A_4 = (0, 1)$ be the four vertices of a square. A particle starts from the point $A_1$ at time $0$ and moves either to $A_2$ or to $A_4$ with equal probability. Similarly, in each of the subsequent ... $T$ be the minimum number of steps required to cover all four vertices. The probability $P(T = 4)$ is $0$ $1/16$ $1/8$ $1/4$
asked
May 11
in
Probability
by
akash.dinkar12
Boss
(
40.5k
points)

18
views
isi2018
engineeringmathematics
probability
0
votes
1
answer
24
ISI2018MMA17
There are eight coins, seven of which have the same weight and the other one weighs more. In order to find the coin having more weight, a person randomly chooses two coins and puts one coin on each side of a common balance. If these two coins are found to have the same ... as before. The probability that the coin will be identified at the second draw is $1/2$ $1/3$ $1/4$ $1/6$
asked
May 11
in
Probability
by
akash.dinkar12
Boss
(
40.5k
points)

22
views
isi2018
engineeringmathematics
probability
0
votes
1
answer
25
ISI2018MMA16
Consider a large village, where only two newspapers $P_1$ and $P_2$ are available to the families. It is known that the proportion of families not taking $P_1$ is $0.48$, not taking $P_2$ is $0.58$, taking only $P_2$ is $0.30$. The probability that a randomly chosen family from the village takes only $P_1$ is $0.24$ $0.28$ $0.40$ can not be determined
asked
May 11
in
Probability
by
akash.dinkar12
Boss
(
40.5k
points)

33
views
isi2018
engineeringmathematics
probability
0
votes
1
answer
26
ISI2018MMA15
Let $G$ be a finite group of even order. Then which of the following statements is correct? The number of elements of order $2$ in $G$ is even The number of elements of order $2$ in $G$ is odd $G$ has no subgroup of order $2$ None of the above.
asked
May 11
in
Set Theory & Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

8
views
isi2018
engineeringmathematics
discretemathematics
settheory&algebra
groups
0
votes
1
answer
27
ISI2018MMA14
Let $A$ be a $3× 3$ real matrix with all diagonal entries equal to $0$. If $1 + i$ is an eigenvalue of $A$, the determinant of $A$ equals $4$ $2$ $2$ $4$
asked
May 11
in
Linear Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

38
views
isi2018
engineeringmathematics
linearalgebra
eigenvalue
determinant
0
votes
1
answer
28
ISI2018MMA13
If $A =\begin{bmatrix} 2 &i \\ i & 0 \end{bmatrix}$ , the trace of $A^{10}$ is $2$ $2(1+i)$ $0$ $2^{10}$
asked
May 11
in
Linear Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

27
views
isi2018
engineeringmathematics
linearalgebra
determinant
0
votes
2
answers
29
ISI2018MMA12
The rank of the matrix $\begin{bmatrix} 1 &2 &3 &4 \\ 5& 6 & 7 & 8 \\ 6 & 8 & 10 & 12 \\ 151 & 262 & 373 & 484 \end{bmatrix}$ $1$ $2$ $3$ $4$
asked
May 11
in
Linear Algebra
by
akash.dinkar12
Boss
(
40.5k
points)

49
views
isi2018
engineeringmathematics
linearalgebra
rankofmatrix
0
votes
1
answer
30
ISI2018MMA10
A new flag of ISI club is to be designed with $5$ vertical strips using some or all of the four colors: green, maroon, red and yellow. In how many ways this can be done so that no two adjacent strips have the same color? $120$ $324$ $424$ $576$
asked
May 11
in
Combinatory
by
akash.dinkar12
Boss
(
40.5k
points)

20
views
isi2018
engineeringmathematics
discretemathematics
permutationsandcombinations
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