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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) ?
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
2.8k
views
dd
asked
Sep 24, 2016
Probability
discrete-mathematics
probability
expectation
counting
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–
1
votes
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?
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...
Manu Madhavan
554
views
Manu Madhavan
asked
Aug 31, 2016
Mathematical Logic
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?
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
7.8k
views
pranjalgennext
asked
Jul 12, 2016
Algorithms
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 ?
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. W...
dd
708
views
dd
asked
Jun 9, 2016
Unknown Category
probability
combinatory
expectation
descriptive
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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.)
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 expe...
anonymous
1.0k
views
anonymous
asked
Mar 26, 2016
Probability
expectation
+
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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?
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
1.8k
views
UK
asked
Jan 21, 2016
Computer Networks
computer-networks
probability
expectation
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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 ?
A fair die is tossed two times. the probability that 2nd toss results in value greater than first toss is ?
pC
2.4k
views
pC
asked
Jan 3, 2016
Probability
gate-ec
probability
expectation
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1
votes
2
answers
68
Probability Expectation
Out of 2000 families with 4 children each how many families would you expect to have atleast one BOY..?
Out of 2000 families with 4 children each how many families would you expect to have atleast one BOY..?
pC
3.6k
views
pC
asked
Jan 3, 2016
Probability
probability
expectation
+
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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 ?
A fair coin is tossed repeatedly till both head and tail appear atleast once. Average no of tosses required is ?
Pooja Palod
4.7k
views
Pooja Palod
asked
Dec 16, 2015
Probability
gate-ec-2014
expectation
+
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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
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 u...
makhdoom ghaya
5.0k
views
makhdoom ghaya
asked
Dec 5, 2015
Probability
tifr2015
expectation
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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 $E(Y |X = 2)$. $6\frac{5}{6}$ $6$ $5\frac{1}{2}$ $6\frac{1}{3}$ $5\frac{2}{3}$
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...
makhdoom ghaya
3.9k
views
makhdoom ghaya
asked
Nov 19, 2015
Probability
tifr2014
expectation
+
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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? $\dfrac{3}{2}\\$ ${\log 5}\\$ $\dfrac{15}{8}\\$ $\dfrac{31}{16}\\$ $2$
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 us...
makhdoom ghaya
2.1k
views
makhdoom ghaya
asked
Oct 31, 2015
Probability
tifr2012
probability
expectation
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1
votes
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) $n$
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...
admin
499
views
admin
asked
Oct 22, 2015
Quantitative Aptitude
probability
expectation
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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. $4$ $3$ $6$ $10$ $5$
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...
makhdoom ghaya
5.8k
views
makhdoom ghaya
asked
Oct 17, 2015
Probability
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
X is uniformly distributed random variable that takes values between 0 and 1.The value of E(X^3) will be
admin
6.0k
views
admin
asked
Sep 9, 2015
Probability
random-variable
expectation
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2
votes
1
answer
76
What is expected value of the sum of the numbers appearing on two fair dice when they are rolled ...
What is expected value of the sum of the numbers appearing on two fair dice when they are rolled given that the sum of these numbers is at least nine. That is, what is E(...
Sahil Gupta
1.9k
views
Sahil Gupta
asked
Nov 25, 2014
Probability
probability
expectation
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1
votes
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.
Answer:2302
Sahil Gupta
1.2k
views
Sahil Gupta
asked
Nov 25, 2014
Probability
probability
expectation
+
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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?
Answer is 50,700,551/10,077,696 ≈ 5.03Do we need to take all X(R.V.): 1,2,3,4,5,6,7,8,9,10 cases or else
Sahil Gupta
1.7k
views
Sahil Gupta
asked
Nov 25, 2014
Probability
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 $3$ $4$ $5$ $6$
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...
Ishrat Jahan
30.1k
views
Ishrat Jahan
asked
Nov 3, 2014
Probability
gateit-2005
probability
binomial-distribution
expectation
normal
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–
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 $\dfrac{1}{p}$ $\dfrac{1}{(1 - p)}$ $\dfrac{1}{p^{2}}$ $\dfrac{1}{(1 - p^{2})}$
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, incl...
Ishrat Jahan
9.3k
views
Ishrat Jahan
asked
Oct 31, 2014
Probability
gateit-2006
probability
binomial-distribution
expectation
normal
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–
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 $R=0$ $R<0$ $R\geq 0$ $R > 0$
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 $\l...
go_editor
8.8k
views
go_editor
asked
Sep 29, 2014
Probability
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.)
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 ke...
go_editor
6.4k
views
go_editor
asked
Sep 28, 2014
Probability
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 ________ .
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
17.3k
views
Arjun
asked
Sep 26, 2014
Probability
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? $\dfrac {1}{8}$ $1$ $7$ $8$
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 ...
Arjun
19.7k
views
Arjun
asked
Sep 24, 2014
Probability
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.
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 ...
Kathleen
10.0k
views
Kathleen
asked
Sep 23, 2014
Probability
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 $\left(\dfrac{2}{3}\right)$ $\quad 1$ $\left(\dfrac{4}{3}\right)$ $\left(\dfrac{5}{3}\right)$
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 t...
Kathleen
9.5k
views
Kathleen
asked
Sep 18, 2014
Probability
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 $0$ $2550$ $7525$ $9375$
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 $1...
Kathleen
8.8k
views
Kathleen
asked
Sep 18, 2014
Probability
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: $\left(\frac{1}{n}\right)$ $2$ $\sqrt n$ $n$
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...
Rucha Shelke
14.6k
views
Rucha Shelke
asked
Sep 17, 2014
Probability
gatecse-2006
probability
expectation
normal
+
–
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