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Recent questions tagged engineering-mathematics
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181
Probability mass function
Suppose that the cdf of X is given by: F(a) ={ 0 for a < 0 1/5 for 0 ≤ a < 2 2/5 for 2 ≤ a < 4 1 for a ≥ 4. } Determine the pmf of X.
Suppose that the cdf of X is given by:F(a) ={0 for a < 01/5 for 0 ≤ a < 22/5 for 2 ≤ a < 41 for a ≥ 4.}Determine the pmf of X.
Na462
474
views
Na462
asked
Feb 19, 2019
Probability
engineering-mathematics
random-variable
+
–
1
votes
0
answers
182
Probability density function
Let R be the rate at which customers are served in a queue. Suppose that R is exponential with pdf f(r) = 2e^(−2r) on [0, ∞). Find the pdf of the waiting time per customer T = 1/R.
Let R be the rate at which customers are served in a queue. Suppose that R isexponential with pdf f(r) = 2e^(−2r) on [0, ∞).Find the pdf of the waiting time per custo...
Na462
584
views
Na462
asked
Feb 19, 2019
Probability
engineering-mathematics
probability
+
–
1
votes
0
answers
183
JEST Sample Question-6
Two gamblers have an argument. The first one claims that if a fair coin is tossed repeatedly, getting two consecutive heads is very unlikely. The second, naturally, is denying this. They decide to settle this by an actual trial; if, within n coin tosses, ... demonstrated. What happens for larger values of n? Is it true that P (n) only increases with n? Justify your answer.
Two gamblers have an argument. The first one claims that if a fair coin is tossedrepeatedly, getting two consecutive heads is very unlikely. The second, naturally, isdeny...
sripo
334
views
sripo
asked
Feb 15, 2019
Probability
jest
engineering-mathematics
probability
+
–
28
votes
4
answers
184
GATE CSE 2019 | Question: 5
Let $U = \{1, 2, \dots , n\}$ Let $A=\{(x, X) \mid x \in X, X \subseteq U \}$. Consider the following two statements on $\mid A \mid$. $\mid A \mid = n2^{n-1}$ $\mid A \mid = \Sigma_{k=1}^{n} k \begin{pmatrix} n \\ k \end{pmatrix}$ Which of the above statements is/are TRUE? Only I Only II Both I and II Neither I nor II
Let $U = \{1, 2, \dots , n\}$ Let $A=\{(x, X) \mid x \in X, X \subseteq U \}$. Consider the following two statements on $\mid A \mid$.$\mid A \mid = n2^{n-1}$$\mid A \mi...
Arjun
11.4k
views
Arjun
asked
Feb 7, 2019
Combinatory
gatecse-2019
engineering-mathematics
discrete-mathematics
combinatory
1-mark
+
–
25
votes
7
answers
185
GATE CSE 2019 | Question: 9
Let $X$ be a square matrix. Consider the following two statements on $X$. $X$ is invertible Determinant of $X$ is non-zero Which one of the following is TRUE? I implies II; II does not imply I II implies I; I does not imply II I does not imply II; II does not imply I I and II are equivalent statements
Let $X$ be a square matrix. Consider the following two statements on $X$.$X$ is invertibleDeterminant of $X$ is non-zeroWhich one of the following is TRUE?I implies II; I...
Arjun
10.4k
views
Arjun
asked
Feb 7, 2019
Linear Algebra
gatecse-2019
engineering-mathematics
linear-algebra
determinant
1-mark
+
–
37
votes
9
answers
186
GATE CSE 2019 | Question: 10
Let $G$ be an arbitrary group. Consider the following relations on $G$: $R_1: \forall a , b \in G, \: a R_1 b \text{ if and only if } \exists g \in G \text{ such that } a = g^{-1}bg$ ... $R_1$ and $R_2$ $R_1$ only $R_2$ only Neither $R_1$ nor $R_2$
Let $G$ be an arbitrary group. Consider the following relations on $G$:$R_1: \forall a , b \in G, \: a R_1 b \text{ if and only if } \exists g \in G \text{ such that } a ...
Arjun
17.2k
views
Arjun
asked
Feb 7, 2019
Set Theory & Algebra
gatecse-2019
engineering-mathematics
discrete-mathematics
set-theory&algebra
group-theory
1-mark
+
–
32
votes
14
answers
187
GATE CSE 2019 | Question: 12
Let $G$ be an undirected complete graph on $n$ vertices, where $n > 2$. Then, the number of different Hamiltonian cycles in $G$ is equal to $n!$ $(n-1)!$ $1$ $\frac{(n-1)!}{2}$
Let $G$ be an undirected complete graph on $n$ vertices, where $n 2$. Then, the number of different Hamiltonian cycles in $G$ is equal to$n!$$(n-1)!$$1$$\frac{(n-1)!}{2}...
Arjun
21.0k
views
Arjun
asked
Feb 7, 2019
Graph Theory
gatecse-2019
engineering-mathematics
discrete-mathematics
graph-theory
graph-connectivity
1-mark
+
–
14
votes
7
answers
188
GATE CSE 2019 | Question: 13
Compute $\displaystyle \lim_{x \rightarrow 3} \frac{x^4-81}{2x^2-5x-3}$ $1$ $53/12$ $108/7$ Limit does not exist
Compute $\displaystyle \lim_{x \rightarrow 3} \frac{x^4-81}{2x^2-5x-3}$$1$$53/12$$108/7$Limit does not exist
Arjun
6.3k
views
Arjun
asked
Feb 7, 2019
Calculus
gatecse-2019
engineering-mathematics
calculus
limits
1-mark
+
–
66
votes
10
answers
189
GATE CSE 2019 | Question: 35
Consider the first order predicate formula $\varphi$: $\forall x [ ( \forall z \: z | x \Rightarrow (( z=x) \vee (z=1))) \rightarrow \exists w ( w > x) \wedge (\forall z \: z | w \Rightarrow ((w=z) \vee (z=1)))]$ Here $a \mid b$ denotes ... of all integers Which of the above sets satisfy $\varphi$? $S_1$ and $S_2$ $S_1$ and $S_3$ $S_2$ and $S_3$ $S_1, S_2$ and $S_3$
Consider the first order predicate formula $\varphi$:$\forall x [ ( \forall z \: z | x \Rightarrow (( z=x) \vee (z=1))) \rightarrow \exists w ( w x) \wedge (\forall z \:...
Arjun
19.9k
views
Arjun
asked
Feb 7, 2019
Mathematical Logic
gatecse-2019
engineering-mathematics
discrete-mathematics
mathematical-logic
first-order-logic
2-marks
+
–
40
votes
6
answers
190
GATE CSE 2019 | Question: 38
Let $G$ be any connected, weighted, undirected graph. $G$ has a unique minimum spanning tree, if no two edges of $G$ have the same weight. $G$ has a unique minimum spanning tree, if, for every cut of $G$, there is a unique minimum-weight edge crossing the cut. Which of the following statements is/are TRUE? I only II only Both I and II Neither I nor II
Let $G$ be any connected, weighted, undirected graph.$G$ has a unique minimum spanning tree, if no two edges of $G$ have the same weight.$G$ has a unique minimum spanning...
Arjun
20.3k
views
Arjun
asked
Feb 7, 2019
Graph Theory
gatecse-2019
engineering-mathematics
discrete-mathematics
graph-theory
graph-connectivity
2-marks
+
–
26
votes
4
answers
191
GATE CSE 2019 | Question: 44
Consider the following matrix: $R = \begin{bmatrix} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{bmatrix}$ The absolute value of the product of Eigen values of $R$ is _______
Consider the following matrix:$R = \begin{bmatrix} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{bmatrix}$The absolute value of the product ...
Arjun
19.3k
views
Arjun
asked
Feb 7, 2019
Linear Algebra
gatecse-2019
numerical-answers
engineering-mathematics
linear-algebra
eigen-value
2-marks
+
–
33
votes
4
answers
192
GATE CSE 2019 | Question: 47
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal place) _______
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal...
Arjun
16.1k
views
Arjun
asked
Feb 7, 2019
Probability
gatecse-2019
numerical-answers
engineering-mathematics
probability
uniform-distribution
2-marks
+
–
0
votes
0
answers
193
ME FLT5
Consider the following POSETs: Which of the above POSETs are isomorphic to (P (S), ⊆), where S = {a, b, c}?
Consider the following POSETs: Which of the above POSETs are isomorphic to (P (S), ⊆), where S = {a, b, c}?
balchandar reddy san
379
views
balchandar reddy san
asked
Jan 30, 2019
Set Theory & Algebra
engineering-mathematics
+
–
0
votes
0
answers
194
#math
amit166
264
views
amit166
asked
Jan 30, 2019
Linear Algebra
engineering-mathematics
+
–
0
votes
0
answers
195
Permutation
The number of ways can 5 letter be put into 3 letter boxes A, B, C if letter box A must contain atleast 2 letters ________. Please tell what are the extra cases in this: Choose 2 letters and put in box A – $^5C_2$ Now remaining 3 letters have $3^3$ choices So, $^5C_2 \times 3^3 = 270$
The number of ways can 5 letter be put into 3 letter boxes A, B, C if letter box A must contain atleast 2 letters ________. Please tell what are the extra cases in this:C...
shreyansh jain
487
views
shreyansh jain
asked
Jan 27, 2019
Quantitative Aptitude
combinatory
engineering-mathematics
discrete-mathematics
+
–
1
votes
1
answer
196
GeeksforGeeks
Suppose that the running time for each process in milliseconds is an exponential random variable with parameter λ=1/20. If process P1 arrives immediately ahead of the process P2 in the running state, then the probability that process P2 will have to wait more than 20 milliseconds is ... . A 0.274 B 0.324 C 0.428 D 0.368 How to approach this. even not able to understand the question.
Suppose that the running time for each process in milliseconds is an exponential random variable with parameter λ=1/20. If process P1 arrives immediately ahead of the pr...
Ashish Goyal
794
views
Ashish Goyal
asked
Jan 27, 2019
Operating System
engineering-mathematics
random-variable
probability
+
–
0
votes
0
answers
197
Counting
screddy1313
425
views
screddy1313
asked
Jan 25, 2019
Graph Theory
discrete-mathematics
graph-theory
engineering-mathematics
chromatic-numbers
counting
+
–
0
votes
1
answer
198
MadeEasy Test Series : Probability - Probability
A dice is tossed thrice. A success is getting ‘1 or 6' on a toss. Find the variance of number of successes _. Answer 0.66
A dice is tossed thrice. A success is getting ‘1 or 6' on a toss. Find the variance of number of successes _. Answer 0.66
Ram Swaroop
606
views
Ram Swaroop
asked
Jan 24, 2019
Probability
engineering-mathematics
probability
made-easy-test-series
+
–
4
votes
2
answers
199
Nullity of matrix
Nullity of a matrix = Total number columns – Rank of that matrix But how to calculate value of x when nullity is already given(1 in this case)
Nullity of a matrix = Total number columns – Rank of that matrixBut how to calculate value of x when nullity is already given(1 in this case)
Nandkishor3939
3.3k
views
Nandkishor3939
asked
Jan 24, 2019
Linear Algebra
engineering-mathematics
linear-algebra
matrix
rank-of-matrix
+
–
0
votes
3
answers
200
propositional logic
which of the following is tautology? (¬P^(P->q))->¬q ¬(p->q)->¬q [(¬p^q)^[q->(p->q)]]->¬r Both (B) and(C) please explain in detail how to check for especially for condition (C) Because “r” is only in RHS but not in LHS of this implication.
which of the following is tautology?(¬P^(P->q))->¬q¬(p->q)->¬q[(¬p^q)^[q->(p->q)]]->¬rBoth (B) and(C)please explain in detail how to check for especially for condit...
learner_geek
1.0k
views
learner_geek
asked
Jan 22, 2019
Mathematical Logic
propositional-logic
discrete-mathematics
mathematical-logic
first-order-logic
engineering-mathematics
+
–
0
votes
0
answers
201
probability
Probability density function of a random variable X is distributed uniformly between 0 and 10 The probability that X lies between 2.5 to 7.5 and the mean square value of X are respectively. please give step by step answer in a detailed manner.
Probability density function of a random variable X is distributed uniformly between 0 and 10 The probability that X lies between 2.5 to 7.5 and the mean square value of ...
learner_geek
578
views
learner_geek
asked
Jan 21, 2019
Probability
probability
engineering-mathematics
random-variable
conditional-probability
+
–
2
votes
3
answers
202
probability
In a lottery, 10 tickets are drawn at random out of 50 tickets numbered from 1 to 50. What is the expected value of the sum of numbers on the drawn tickets?
In a lottery, 10 tickets are drawn at random out of 50 tickets numbered from 1 to 50. What is the expected value of the sum of numbers on the drawn tickets?
learner_geek
3.8k
views
learner_geek
asked
Jan 20, 2019
Mathematical Logic
probability
engineering-mathematics
conditional-probability
random-variable
+
–
3
votes
1
answer
203
probability
A player tosses two fair coins. He wins rs 2 if 2 heads occur and rs 1 if 1 head occurs. On the other hand, he loses rs 3 if no heads occur. if the player plays 100 times.then the amount he wins______________(RS).
A player tosses two fair coins. He wins rs 2 if 2 heads occur and rs 1 if 1 head occurs. On the other hand, he loses rs 3 if no heads occur. if the player plays 100 times...
learner_geek
638
views
learner_geek
asked
Jan 20, 2019
Mathematical Logic
probability
engineering-mathematics
random-variable
conditional-probability
+
–
0
votes
1
answer
204
Simple Determinant
how to prove determinant 1 and 2 are same by some row-column manipulation ,please Help??
how to prove determinant 1 and 2 are same by some row-column manipulation ,please Help??
BHASHKAR
295
views
BHASHKAR
asked
Jan 19, 2019
Linear Algebra
linear-algebra
engineering-mathematics
matrix
+
–
0
votes
1
answer
205
Probablity Question
The given table shows the result of the class of 30. Find the probability that a given student who is passed in exam is a girl?
The given table shows the result of the class of 30. Find the probability that a given student who is passed in exam is a girl?
gmrishikumar
444
views
gmrishikumar
asked
Jan 19, 2019
Mathematical Logic
probability
engineering-mathematics
+
–
0
votes
1
answer
206
MadeEasy Workbook: Calculus - Maxima Minima
chanchala3993
610
views
chanchala3993
asked
Jan 19, 2019
Calculus
engineering-mathematics
calculus
maxima-minima
made-easy-booklet
+
–
0
votes
1
answer
207
Probability
Suppose that a bag contains 8 blue cubes and 4 green cubes. We draw 2 cubes from the bag without replacement. It is given that blue balls are of weight 1Kg and green balls are of weight 0.5 Kg. Suppose that the probability that a given cube in the bag ... is its weight divided by the sum of the weights of all cubes currently in the bag. What is the probability that both cubes are blue.
Suppose that a bag contains 8 blue cubes and 4 green cubes. We draw 2 cubes from the bag without replacement. It is given that blue balls are of weight 1Kg and green ball...
ghostman23111
519
views
ghostman23111
asked
Jan 19, 2019
Probability
probability
engineering-mathematics
+
–
2
votes
1
answer
208
Probability
Prabha is working in a software company. Her manager is running a dinner for those employees having atleast one son. If Prabha is invited to the dinner and everyone knows she has two children. What is the probability that they are both boys?
Prabha is working in a software company. Her manager is running a dinner for those employees having atleast one son. If Prabha is invited to the dinner and everyone knows...
ghostman23111
811
views
ghostman23111
asked
Jan 19, 2019
Mathematical Logic
probability
engineering-mathematics
conditional-probability
+
–
0
votes
0
answers
209
MadeEasy Full Length Test 2019: Engineering Mathematics - Probability
Can any one explain me the part in green box Thanks :)
Can any one explain me the part in green boxThanks :)
Nandkishor3939
827
views
Nandkishor3939
asked
Jan 16, 2019
Probability
engineering-mathematics
probability
made-easy-test-series
+
–
0
votes
1
answer
210
MadeEasy Full Length Test 2019: Engineering Mathematics - Linear Algebra
roman_1997
516
views
roman_1997
asked
Jan 16, 2019
Linear Algebra
linear-algebra
engineering-mathematics
made-easy-test-series
+
–
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