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Use the google search bar on side panel. It searches through all previous GATE/other questions. For hardcopy of previous year questions please see
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Recent questions tagged expectation
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Ace Test Series: Probability  Uniform Distribution
asked
Feb 2
in
Probability
by
Na462
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8.7k
points)

76
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randomvariable
probability
expectation
uniformdistribution
acetestseries
0
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0
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2
GATEBOOK2019 Mock Test137
In an examination there are $80$ questions each having four choices. Exactly one of these four choices is correct and the other three are wrong. A student is awarded $1$ mark for each correct answer, and $0.25$ for each wrong answer. If a student ticks ... each question randomly, then the expected value of his/her total marks in the examination is. $15$ $0$ $5$ $20$
asked
Jan 19
in
Probability
by
GATEBOOK
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15.3k
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146
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gb2019mock1
expectation
0
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0
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GATE 2015 SET2 Q 29
Let the random variable X represent the number of times a fair coin needs to be tossed till two consecutive heads appear for the first time. The expectation of X is _______.
asked
Jan 5
in
Probability
by
cocgame
(
231
points)

107
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probability
usergate2015
usermod
expectation
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0
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4
Random Variable
Let X and Y are two random variables with E(X)=10,E(Y)=20 and Var(X)=25,Var(Y)=36 and E(X.Y)=225. Now consider Z=aXbY+1. Find a and b when E(Z)=1 and Var(Z)=1.
asked
Jan 3
in
Probability
by
Shubhgupta
Loyal
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8.4k
points)

49
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engineeringmathematics
variance
expectation
+1
vote
2
answers
5
made easy test series  30 cards are drawn at a time out of 80 playing cards numbered from 1 to 80
asked
Nov 22, 2018
in
Probability
by
rekhameena
(
121
points)

257
views
expectation
0
votes
1
answer
6
me test
A simple graph with n vertices is constructed by randomly and independently placing an edge between every two vertices with probability p. What is the expected no. of nodes with degree 2?
asked
Jul 17, 2018
in
Graph Theory
by
ronin_codex
(
19
points)

87
views
probability
graphtheory
expectation
simplegraph
+1
vote
0
answers
7
MadeEasy Test Series: Probability  Expectation
Suppose X and Y are random variables such that E(X) = 1, Var (X) = 1, E(Y) = 2, Var (Y) = 2, Cov (X, Y) = 1 By using above values the following expressions are evaluated (i) E(X + 2Y) = p (ii) E(XY ) = q (iii) Var(X – 2Y + 1) = r The value of pq + r is ___________. What is the formulae for point (iii) ?
asked
Jan 18, 2018
in
Mathematical Logic
by
rahul sharma 5
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26.8k
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101
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engineeringmathematics
probability
expectation
madeeasytestseries
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0
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8
ISRO 2009ECE Probability
A man with n keys wants to open a lock. He tries his keys at random. The expected number of attempts for his success is (keys are replaced after every attempt) a) n/2 b) n c) √ n d) None of the above
asked
Mar 1, 2017
in
Probability
by
sh!va
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35.2k
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341
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isroece
engineeringmathematics
expectation
+28
votes
4
answers
9
GATE2017248
If a random variable $X$ has a Poisson distribution with mean $5$, then the expectation $E\left [ \left ( x+2 \right )^{2} \right ]$ equals ___.
asked
Feb 14, 2017
in
Probability
by
Kantikumar
Active
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4.8k
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4.2k
views
gate20172
expectation
poissondistribution
numericalanswers
0
votes
0
answers
10
gatebook
In an examination there are 80 questions each having four choices. Exactly one of these four choices is correct and the other three are wrong. A student is awarded 1 mark for each correct answer, and 0.25 for each wrong answer. If a student ticks the answer of each question randomly, then the expected value of his/her total marks in the examination is. (A) 15 (B) 0 (C) 5 (D) 20
asked
Feb 7, 2017
in
Probability
by
ldxer23
(
203
points)

170
views
probability
expectation
+4
votes
2
answers
11
What is the expected length of the cycle containing vertex 1?
A random permutation π of set[n] = {1, 2, , n} can be represent by a directed graph on n vertices with directed arc (i, πi) where πi is the ith entry in the permutation. Observe that the resulting graph is just a collection of disjoint cycles. ... containing vertex 1? n(n1)/2n (n+1)/2n ((n1))/2 ((n+1))/2 /pls explain the question
asked
Jan 16, 2017
in
Graph Theory
by
Akriti sood
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(
13.9k
points)

405
views
expectation
graphtheory
engineeringmathematics
0
votes
1
answer
12
Probability (Expectation)
Suppose that the expectation of a random variable X is 5. Which of the following statements is true? (A)  There is a sample point at which the X has the value 5. (B)  There is a sample point at which the X has the value greater than 5. (C)  There is a sample point at which the X has the value greater than or equal to 5. (D)  None. Explain.
asked
Dec 17, 2016
in
Mathematical Logic
by
Hardik Vagadia
(
495
points)

253
views
expectation
probability
engineeringmathematics
+1
vote
1
answer
13
Expected value
in C language rand() returns a random integer number. Following is a function definition. int f() { return (rand() & 1) ? 1:0; } Then what will be the expected value of count ? count = 0; for(i=1;i<=n;i++) { if(f() && f()) { count++; } } & is bitwise AND && is logical AND and assume required seed has been initialized.
asked
Dec 17, 2016
in
Probability
by
Debashish Deka
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(
58.1k
points)

222
views
expectation
probability
programminginc
+2
votes
1
answer
14
Linear Search: expected number of searches
Given an array of 1,000,000 distinct integers you are going to perform 100,000 searches, one at a time, using the linear search algorithm. Each element you are searching for is in the array. What is the expected, total number of comparisons performed by the 100,000 linear searches? Please explain Given Ans: 5x10^10 + 5x10^4
asked
Dec 16, 2016
in
Algorithms
by
Vijay Thakur
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(
17.3k
points)

450
views
binarytree
expectation
algorithms
linearsearch
+1
vote
1
answer
15
sheldon Ross
A coin is flipped n times. Assuming that the flips are independent, with each one coming up heads with probability p, what is the probability that there is a string of k consecutive heads?
asked
Dec 8, 2016
in
Mathematical Logic
by
sushmita
Boss
(
16.9k
points)

137
views
probability
expectation
permutationsandcombinations
+1
vote
1
answer
16
Expected valu
I always do expected value questions wrong. Please suggest a detailed way to solve these questions. Suppose a coin is tossed 9 times, with the result $HHHT T T T HT$ The first set of three heads is called a run.There are three more runs in this ... the same value as the first two. Now suppose an experiment consists of tossing a fair coin three times. Find the expected number of runs
asked
Nov 26, 2016
in
Combinatory
by
thor
Loyal
(
8k
points)

137
views
permutationsandcombinations
expectation
+2
votes
1
answer
17
Probability
Let there be a string of 10 bits generated uniformly at random (each bit could be 0 or 1 with equal probability). What is the expected number of appearances of a substring 011 in this string?
asked
Nov 17, 2016
in
Probability
by
Manu Madhavan
Active
(
1.2k
points)

176
views
probability
expectation
+3
votes
0
answers
18
Maths
Vinod has $1000$ coins. He spreads them on his bed. Initially all of them are facing head. Sachin selects any $57$ coins at random and inverts all of them. Daga repeats this process $12$ times. What is the expected number of head after the process?
asked
Oct 4, 2016
in
Probability
by
robertSingh
(
303
points)

100
views
numericalanswers
numericalability
expectation
0
votes
1
answer
19
Expected Value #sheldon and ross
If n balls are randomly selected from an urn containing N balls of which m are white,find the expected number of white balls selected.
asked
Sep 27, 2016
in
Probability
by
Debashish Deka
Veteran
(
58.1k
points)

179
views
expectation
probability
permutationsandcombinations
+4
votes
3
answers
20
Expectated no of coin toss
An unbiased coin is tossed repeatedly and outcomes are recorded. What is the expected no of toss to get HT ( one head and one tail consecutively) ?
asked
Sep 24, 2016
in
Probability
by
Debashish Deka
Veteran
(
58.1k
points)

628
views
discretemathematics
probability
expectation
counting
+1
vote
3
answers
21
Probability Expectaiton
A box contain 2 red balls and 3 white balls. The random experiment is picking two balls from the box. When 2 white balls picked, the balls will be replaced and experiment repeated. Otherwise stop the experiment. What is the expected number of repetations?
asked
Aug 31, 2016
in
Mathematical Logic
by
Manu Madhavan
Active
(
1.2k
points)

167
views
probability
expectation
+6
votes
2
answers
22
Cormen 2nd edition Exercise 11.21
Suppose we use a hash function h to hash n distinct keys into an array T of length m. Assuming simple uniform hashing, what is the expected number of collisions?
asked
Jul 13, 2016
in
Algorithms
by
pranjalgennext
Active
(
1.3k
points)

1.3k
views
algorithms
hashing
expectation
0
votes
2
answers
23
Expected sum value of permutaion
We have a set(A) of N elements. Let's assume elements are e1,e2,e3..etc. Value of each element can be 0 or 1. Another set of N elements(set B) are given, p1,p2,p3..etc. Where p (i) =probability of e (i) to be 1. If we pick a random ... contains 5 elements e1,e2,e3,e4,e5 and we picked a 5 element sequence 1,0,0,1,1. In this case sum = 3. Expected_Value of sum ?
asked
Jun 9, 2016
by
Debashish Deka
Veteran
(
58.1k
points)

280
views
probability
permutationsandcombinations
expectation
descriptive
0
votes
2
answers
24
then what is the expected number of games played in the series
If two teams A and B play a bestoffive series, and if team A has a 1/4 chance of winning any game (and team B has 3/4 chance of winning any game), then what is the expected number of games played in the series. (Note that in a bestoffive series, the teams play games until one team has won three games.)
asked
Mar 26, 2016
in
Probability
by
antony
(
7
points)

193
views
expectation
+1
vote
1
answer
25
Probability of Successful transmission
Q If probability of frame reaching safely is 0.1 then mean number of transmissions of a frame to make it success is _____. How to solve this question?
asked
Jan 21, 2016
in
Computer Networks
by
UK
Active
(
1.8k
points)

308
views
computernetworks
probability
expectation
+3
votes
2
answers
26
GATE 2011 probability
A fair die is tossed two times. the probability that 2nd toss results in value greater than first toss is ?
asked
Jan 3, 2016
in
Probability
by
pC
Boss
(
22.6k
points)

311
views
gate2011ec
probability
expectation
0
votes
2
answers
27
Probability Expectation
Out of 2000 families with 4 children each how many families would you expect to have atleast one BOY..?
asked
Jan 3, 2016
in
Probability
by
pC
Boss
(
22.6k
points)

1.1k
views
probability
expectation
+2
votes
5
answers
28
expectation
A fair coin is tossed repeatedly till both head and tail appear atleast once. Average no of tosses required is ?
asked
Dec 16, 2015
in
Probability
by
Pooja Palod
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(
32.1k
points)

1.2k
views
gateec2014
expectation
+8
votes
3
answers
29
TIFR2015A6
Ram has a fair coin, i.e., a toss of the coin results in either head or tail and each event happens with probability exactly half $(1/2)$. He repeatedly tosses the coin until he gets heads in two consecutive tosses. The expected number of coin tosses that Ram does is. $2$ $4$ $6$ $8$ None of the above.
asked
Dec 5, 2015
in
Probability
by
makhdoom ghaya
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(
41.2k
points)

1k
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tifr2015
expectation
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