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Recent questions tagged expectation
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ISI2015MMA53
The number of cars $(X)$ arriving at a service station per day follows a Poisson distribution with mean $4$. The service station can provide service to a maximum of $4$ cars per day. Then the expected number of cars that do not get service per day equals $4$ $0$ $\Sigma_{i=0}^{\infty} i P(X=i+4)$ $\Sigma_{i=4}^{\infty} i P(X=i4)$
asked
Sep 23, 2019
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Probability
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Arjun
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isi2015mma
poissondistribution
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Cormen Edition 3 Exercise 8.4 Question 3 (Page No. 204)
Let $X$ be a random variable that is equal to the number of heads in two flips of a fair coin. What is $E[X^2]$? What is $E^2[X]$?
asked
Jun 28, 2019
in
Algorithms
by
akash.dinkar12
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cormen
algorithms
sorting
bucketsort
expectation
descriptive
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1
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3
Ace Test Series: Probability  Uniform Distribution
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Feb 2, 2019
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Probability
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Na462
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170
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randomvariable
probability
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uniformdistribution
acetestseries
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1
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4
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 _______.
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Jan 5, 2019
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Probability
by
cocgame
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223
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339
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probability
usergate2015
usermod
expectation
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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.
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Jan 3, 2019
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Probability
by
Shubhgupta
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72
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engineeringmathematics
variance
expectation
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2
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6
made easy test series  30 cards are drawn at a time out of 80 playing cards numbered from 1 to 80
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Nov 22, 2018
in
Probability
by
rekhameena
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119
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289
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expectation
0
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1
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7
ISI2016MMA9
Suppose $X$ and $Y$ are two independent random variables both following Poisson distribution with parameter $\lambda$. What is the value of $E(XY)^2$ ? $\lambda$ $2 \lambda$ $\lambda^2$ $4 \lambda^2$
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Sep 13, 2018
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Probability
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jothee
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isi2016mmamma
probability
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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?
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Jul 17, 2018
in
Graph Theory
by
ronin_codex
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11
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101
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probability
graphtheory
expectation
simplegraph
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9
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) ?
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Jan 18, 2018
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Mathematical Logic
by
rahul sharma 5
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engineeringmathematics
probability
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madeeasytestseries
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10
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
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Mar 1, 2017
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Probability
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sh!va
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418
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isroece
engineeringmathematics
expectation
+30
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4
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11
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
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Probability
by
Kantikumar
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gate20172
expectation
poissondistribution
numericalanswers
probability
0
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12
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
(
211
points)

176
views
probability
expectation
+4
votes
2
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13
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
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Jan 16, 2017
in
Graph Theory
by
Akriti sood
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450
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expectation
graphtheory
engineeringmathematics
+1
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1
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14
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
(
345
points)

332
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expectation
probability
engineeringmathematics
+1
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1
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15
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.
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Dec 17, 2016
in
Probability
by
dd
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57.2k
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255
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expectation
probability
programminginc
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1
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16
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?
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Dec 8, 2016
in
Mathematical Logic
by
sushmita
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151
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probability
expectation
permutationandcombination
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1
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17
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
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157
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permutationandcombination
expectation
+2
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1
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18
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
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1.1k
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193
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probability
expectation
+3
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0
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19
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
(
249
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109
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numericalanswers
numericalability
expectation
0
votes
1
answer
20
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
dd
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196
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expectation
probability
permutationandcombination
+4
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3
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21
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
dd
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57.2k
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749
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discretemathematics
probability
expectation
counting
+1
vote
3
answers
22
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
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1.1k
points)

177
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probability
expectation
+6
votes
2
answers
23
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
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1.3k
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1.5k
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algorithms
hashing
expectation
0
votes
2
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24
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
dd
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probability
permutationandcombination
expectation
descriptive
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votes
2
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25
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.)
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Mar 26, 2016
in
Probability
by
antony
(
5
points)

397
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expectation
+1
vote
1
answer
26
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
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1.6k
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327
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computernetworks
probability
expectation
+4
votes
2
answers
27
Mathematics 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
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21.5k
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408
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gateec
probability
expectation
0
votes
2
answers
28
Probability Expectation
Out of 2000 families with 4 children each how many families would you expect to have atleast one BOY..?
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Jan 3, 2016
in
Probability
by
pC
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1.2k
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probability
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+2
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5
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29
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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31.4k
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1.4k
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gateec2014
expectation
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