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Recent questions tagged expectation
5
votes
3
answers
61
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) ?
dd
asked
in
Probability
Sep 24, 2016
by
dd
2.9k
views
discrete-mathematics
probability
expectation
counting
1
vote
3
answers
62
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?
Manu Madhavan
asked
in
Mathematical Logic
Aug 31, 2016
by
Manu Madhavan
592
views
probability
expectation
9
votes
2
answers
63
Cormen 2nd edition Exercise 11.2-1
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?
pranjalgennext
asked
in
Algorithms
Jul 12, 2016
by
pranjalgennext
7.8k
views
algorithms
hashing
expectation
0
votes
2
answers
64
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 ?
dd
asked
in
Unknown Category
Jun 9, 2016
by
dd
723
views
probability
combinatory
expectation
descriptive
0
votes
2
answers
65
then what is the expected number of games played in the series
If two teams A and B play a best-of-five 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 best-of-five series, the teams play games until one team has won three games.)
anonymous
asked
in
Probability
Mar 26, 2016
by
anonymous
1.0k
views
expectation
2
votes
1
answer
66
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?
UK
asked
in
Computer Networks
Jan 21, 2016
by
UK
1.8k
views
computer-networks
probability
expectation
7
votes
3
answers
67
Mathematics GATE 2011 probability
A fair die is tossed two times. the probability that 2nd toss results in value greater than first toss is ?
pC
asked
in
Probability
Jan 3, 2016
by
pC
2.4k
views
gate-ec
probability
expectation
1
vote
2
answers
68
Probability Expectation
Out of 2000 families with 4 children each how many families would you expect to have atleast one BOY..?
pC
asked
in
Probability
Jan 3, 2016
by
pC
3.7k
views
probability
expectation
2
votes
5
answers
69
expectation
A fair coin is tossed repeatedly till both head and tail appear atleast once. Average no of tosses required is ?
Pooja Palod
asked
in
Probability
Dec 16, 2015
by
Pooja Palod
4.7k
views
gate-ec-2014
expectation
20
votes
5
answers
70
TIFR CSE 2015 | Part A | Question: 6
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
makhdoom ghaya
asked
in
Probability
Dec 5, 2015
by
makhdoom ghaya
5.0k
views
tifr2015
expectation
16
votes
3
answers
71
TIFR CSE 2014 | Part A | Question: 17
A fair dice (with faces numbered $1, . . . , 6$) is independently rolled repeatedly. Let $X$ denote the number of rolls till an even number is seen and let $Y$ denote the number of rolls till $3$ is seen. Evaluate $E(Y |X = 2)$. $6\frac{5}{6}$ $6$ $5\frac{1}{2}$ $6\frac{1}{3}$ $5\frac{2}{3}$
makhdoom ghaya
asked
in
Probability
Nov 19, 2015
by
makhdoom ghaya
4.0k
views
tifr2014
expectation
15
votes
1
answer
72
TIFR CSE 2012 | Part B | Question: 7
A bag contains $16$ balls of the following colors: 8 red, 4 blue, 2 green, 1 black, and 1 white. Anisha picks a ball randomly from the bag, and messages Babu its color using a string of zeros and ones. She replaces the ball in the bag, and repeats this experiment, many ... per experiment? $\dfrac{3}{2}\\$ ${\log 5}\\$ $\dfrac{15}{8}\\$ $\dfrac{31}{16}\\$ $2$
makhdoom ghaya
asked
in
Probability
Oct 31, 2015
by
makhdoom ghaya
2.1k
views
tifr2012
probability
expectation
1
vote
1
answer
73
Probability
We are given a set $X = \left \{x_1, x_2, \ldots , x_n \right \}$ where $x_i = 2i$. A sample $S$ (which is a subset of $X$) is drawn by selecting each $x_i$ independently with probability $P_i = \frac 12$. The expected value of the smallest number in sample $S$ is: a) $1/n$ b) $2$ c) $\sqrt n$ d) $n$
admin
asked
in
Quantitative Aptitude
Oct 22, 2015
by
admin
502
views
probability
expectation
19
votes
4
answers
74
TIFR CSE 2011 | Part A | Question: 6
Assume that you are flipping a fair coin, i.e. probability of heads or tails is equal. Then the expected number of coin flips required to obtain two consecutive heads for the first time is. $4$ $3$ $6$ $10$ $5$
makhdoom ghaya
asked
in
Probability
Oct 17, 2015
by
makhdoom ghaya
5.9k
views
tifr2011
probability
expectation
3
votes
4
answers
75
Uniform probability distribution
X is uniformly distributed random variable that takes values between 0 and 1.The value of E(X^3) will be
admin
asked
in
Probability
Sep 9, 2015
by
admin
6.0k
views
random-variable
expectation
2
votes
1
answer
76
What is expected value of the sum of the numbers appearing on two fair dice when they are rolled ...
Sahil Gupta
asked
in
Probability
Nov 25, 2014
by
Sahil Gupta
1.9k
views
probability
expectation
1
vote
1
answer
77
Estimate the expected number of integers with 1000 digits that need to be selected at random to find a prime, if the probability a number with 1000 digits is prime is approximately 1/2302.
Sahil Gupta
asked
in
Probability
Nov 25, 2014
by
Sahil Gupta
1.3k
views
probability
expectation
2
votes
1
answer
78
Suppose that we roll a fair die until a 6 comes up or we have rolled it 10 times. What is the expected number of times we roll the die?
Sahil Gupta
asked
in
Probability
Nov 25, 2014
by
Sahil Gupta
1.7k
views
probability
expectation
72
votes
8
answers
79
GATE IT 2005 | Question: 32
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is $3$ $4$ $5$ $6$
Ishrat Jahan
asked
in
Probability
Nov 3, 2014
by
Ishrat Jahan
29.6k
views
gateit-2005
probability
binomial-distribution
expectation
normal
40
votes
4
answers
80
GATE IT 2006 | Question: 22
When a coin is tossed, the probability of getting a Head is $p, 0 < p < 1$. Let $N$ be the random variable denoting the number of tosses till the first Head appears, including the toss where the Head appears. Assuming that successive tosses are independent, the expected value of $N$ is $\dfrac{1}{p}$ $\dfrac{1}{(1 - p)}$ $\dfrac{1}{p^{2}}$ $\dfrac{1}{(1 - p^{2})}$
Ishrat Jahan
asked
in
Probability
Oct 31, 2014
by
Ishrat Jahan
9.4k
views
gateit-2006
probability
binomial-distribution
expectation
normal
36
votes
7
answers
81
GATE CSE 2011 | Question: 18
If the difference between the expectation of the square of a random variable $\left(E\left[X^2\right]\right)$ and the square of the expectation of the random variable $\left(E\left[X\right]\right)^2$ is denoted by $R$, then $R=0$ $R<0$ $R\geq 0$ $R > 0$
go_editor
asked
in
Probability
Sep 29, 2014
by
go_editor
8.8k
views
gatecse-2011
probability
random-variable
expectation
normal
24
votes
4
answers
82
GATE CSE 2014 Set 2 | Question: 2
Each of the nine words in the sentence $\text{"The quick brown fox jumps over the lazy dog”}$ is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The $\text{expected}$ length of the word drawn is _____________. (The answer should be rounded to one decimal place.)
go_editor
asked
in
Probability
Sep 28, 2014
by
go_editor
6.4k
views
gatecse-2014-set2
probability
expectation
numerical-answers
easy
61
votes
3
answers
83
GATE CSE 2014 Set 1 | Question: 2
Suppose you break a stick of unit length at a point chosen uniformly at random. Then the expected length of the shorter stick is ________ .
Arjun
asked
in
Probability
Sep 26, 2014
by
Arjun
17.4k
views
gatecse-2014-set1
probability
uniform-distribution
expectation
numerical-answers
normal
61
votes
6
answers
84
GATE CSE 2013 | Question: 24
Consider an undirected random graph of eight vertices. The probability that there is an edge between a pair of vertices is $\dfrac{1}{2}.$ What is the expected number of unordered cycles of length three? $\dfrac {1}{8}$ $1$ $7$ $8$
Arjun
asked
in
Probability
Sep 24, 2014
by
Arjun
19.7k
views
gatecse-2013
probability
expectation
normal
37
votes
4
answers
85
GATE CSE 1999 | Question: 1.1
Suppose that the expectation of a random variable $X$ is $5$. Which of the following statements is true? There is a sample point at which $X$ has the value $5$. There is a sample point at which $X$ has value greater than $5$. There is a sample point at which $X$ has a value greater than equal to $5$. None of the above.
Kathleen
asked
in
Probability
Sep 23, 2014
by
Kathleen
10.1k
views
gate1999
probability
expectation
easy
31
votes
4
answers
86
GATE CSE 2004 | Question: 80
A point is randomly selected with uniform probability in the $X-Y$ plane within the rectangle with corners at $(0,0), (1,0), (1,2)$ and $(0,2).$ If $p$ is the length of the position vector of the point, the expected value of $p^{2}$ is $\left(\dfrac{2}{3}\right)$ $\quad 1$ $\left(\dfrac{4}{3}\right)$ $\left(\dfrac{5}{3}\right)$
Kathleen
asked
in
Probability
Sep 18, 2014
by
Kathleen
9.5k
views
gatecse-2004
probability
uniform-distribution
expectation
normal
35
votes
4
answers
87
GATE CSE 2004 | Question: 74
An examination paper has $150$ multiple choice questions of one mark each, with each question having four choices. Each incorrect answer fetches $-0.25$ marks. Suppose $1000$ students choose all their answers randomly with uniform probability. The sum total of the expected marks obtained by all these students is $0$ $2550$ $7525$ $9375$
Kathleen
asked
in
Probability
Sep 18, 2014
by
Kathleen
8.9k
views
gatecse-2004
probability
expectation
normal
41
votes
5
answers
88
GATE CSE 2006 | Question: 18
We are given a set $X = \{X_1,\ldots,X_n\}$ where $X_i=2^i$. A sample $S\subseteq X$ is drawn by selecting each $X_i$ independently with probability $P_i = \frac{1}{2}$ . The expected value of the smallest number in sample $S$ is: $\left(\frac{1}{n}\right)$ $2$ $\sqrt n$ $n$
Rucha Shelke
asked
in
Probability
Sep 17, 2014
by
Rucha Shelke
14.3k
views
gatecse-2006
probability
expectation
normal
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