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Recent questions tagged expectation

6 votes
2 answers
35
TIFR CSE 2020 | Part A | Question: 1
Two balls are drawn uniformly at random without replacement from a set of five balls numbered $1,2,3,4,5.$ What is the expected value of the larger number on the balls drawn? $2.5$ $3$ $3.5$ $4$ None of the above
Two balls are drawn uniformly at random without replacement from a set of five balls numbered $1,2,3,4,5.$ What is the expected value of the larger number on the balls dr...
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1 votes
1 answer
37
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 $E^2[X]$?
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 $E^2[X]$?
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2 votes
1 answer
39
GATE 2015 SET-2 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 _______.
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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1 votes
0 answers
40
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=aX-bY+1. Find a and b when E(Z)=1 and Var(Z)=1.
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=aX-bY+1.Find a and b when E(Z)=1 and Var(Z)=1.
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2 votes
2 answers
42
ISI2016-MMA-9
Suppose $X$ and $Y$ are two independent random variables both following Poisson distribution with parameter $\lambda$. What is the value of $E(X-Y)^2$ ? $\lambda$ $2 \lambda$ $\lambda^2$ $4 \lambda^2$
Suppose $X$ and $Y$ are two independent random variables both following Poisson distribution with parameter $\lambda$. What is the value of $E(X-Y)^2$ ?$\lambda$$2 \lambd...
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0 votes
1 answer
43
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?
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 nod...
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1 votes
0 answers
46
ISRO 2009-ECE 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
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/2b) nc)...
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47 votes
4 answers
47
GATE CSE 2017 Set 2 | Question: 48
If a random variable $X$ has a Poisson distribution with mean $5$, then the expectation $E\left [ \left ( x+2 \right )^{2} \right ]$ equals ___.
If a random variable $X$ has a Poisson distribution with mean $5$, then the expectation $E\left [ \left ( x+2 \right )^{2} \right ]$ equals ___.
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1 votes
1 answer
52
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?
A coin is flipped n times. Assuming that the flips are independent, with each onecoming up heads with probability p, what is the probability that there is a string of kco...
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2 votes
1 answer
54
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?
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 substrin...
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3 votes
0 answers
55
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?
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 t...
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