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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.

Na462 asked in Probability Feb 19, 2019

by Na462

477 views

1 vote

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.

Na462 asked in Probability Feb 19, 2019

by Na462

588 views

1 vote

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.

sripo asked in Probability Feb 15, 2019

by sripo

338 views

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

Arjun asked in Combinatory Feb 7, 2019

by Arjun

11.4k views

24 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

Arjun asked in Linear Algebra Feb 7, 2019

by Arjun

10.4k views

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 $R_2$

Arjun asked in Set Theory & Algebra Feb 7, 2019

by Arjun

17.2k views

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 $n!$ $(n-1)!$ $1$ $\frac{(n-1)!}{2}$

Arjun asked in Graph Theory Feb 7, 2019

by Arjun

21.1k views

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

Arjun asked in Calculus Feb 7, 2019

by Arjun

6.3k views

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 $S_3$

Arjun asked in Mathematical Logic Feb 7, 2019

by Arjun

19.9k views

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

Arjun asked in Graph Theory Feb 7, 2019

by Arjun

20.4k views

25 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 _______

Arjun asked in Linear Algebra Feb 7, 2019

by Arjun

19.3k views

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) _______

Arjun asked in Probability Feb 7, 2019

by Arjun

16.1k views

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}?

balchandar reddy san asked in Set Theory & Algebra Jan 30, 2019

by balchandar reddy san

395 views

0 votes

0 answers

194

amit166 asked in Linear Algebra Jan 30, 2019

270 views

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, $^5C_2 \times 3^3 = 270$

shreyansh jain asked in Quantitative Aptitude Jan 27, 2019

by shreyansh jain

496 views

1 vote

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.

Ashish Goyal asked in Operating System Jan 27, 2019

by Ashish Goyal

801 views

0 votes

0 answers

197

screddy1313 asked in Graph Theory Jan 25, 2019

444 views

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

Ram Swaroop asked in Probability Jan 24, 2019

618 views

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)

Nandkishor3939 asked in Linear Algebra Jan 24, 2019

by Nandkishor3939

3.3k views

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.

learner_geek asked in Mathematical Logic Jan 22, 2019

by learner_geek

1.0k views

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.

learner_geek asked in Probability Jan 21, 2019

by learner_geek

581 views

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?

learner_geek asked in Mathematical Logic Jan 20, 2019

by learner_geek

3.9k views

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).

learner_geek asked in Mathematical Logic Jan 20, 2019

by learner_geek

646 views

0 votes

1 answer

204

Simple Determinant
how to prove determinant 1 and 2 are same by some row-column manipulation ,please Help??

BHASHKAR asked in Linear Algebra Jan 19, 2019

303 views

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?

gmrishikumar asked in Mathematical Logic Jan 19, 2019

by gmrishikumar

462 views

0 votes

1 answer

206

MadeEasy Workbook: Calculus - Maxima Minima

chanchala3993 asked in Calculus Jan 19, 2019

by chanchala3993

618 views

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.

ghostman23111 asked in Probability Jan 19, 2019

by ghostman23111

527 views

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?

ghostman23111 asked in Mathematical Logic Jan 19, 2019

by ghostman23111

820 views

0 votes

0 answers

209

MadeEasy Full Length Test 2019: Engineering Mathematics - Probability
Can any one explain me the part in green box Thanks :)

Nandkishor3939 asked in Probability Jan 16, 2019

by Nandkishor3939

832 views

0 votes

1 answer

210

MadeEasy Full Length Test 2019: Engineering Mathematics - Linear Algebra

roman_1997 asked in Linear Algebra Jan 16, 2019

524 views

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Recent questions tagged engineering-mathematics