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74 votes
8 answers
1
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...
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61 votes
6 answers
2
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 ...
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61 votes
3 answers
3
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 ________ .
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2 votes
1 answer
6
Memory Based GATE DA 2024 | Question: 1
Consider the probability density function \(f(x) = \lambda e^{-\lambda x}\) for \(x \geq 0\) and \(\lambda > 0\). Determine the value of \(\lambda\) such that \(5E(x) = V(x)\).
Consider the probability density function \(f(x) = \lambda e^{-\lambda x}\) for \(x \geq 0\) and \(\lambda 0\). Determine the value of \(\lambda\) such that \(5E(x) = V(...
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3 votes
4 answers
13
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
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6 votes
3 answers
14
GATE Overflow Test Series | Probability | Test 1 | Question: 27
An unbiased coin is tossed repeatedly and its outcome is recorded. What is the expected number of trials to get $\text{HT}$ consecutively?
An unbiased coin is tossed repeatedly and its outcome is recorded. What is the expected number of trials to get $\text{HT}$ consecutively?
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4 votes
3 answers
15
GATE Overflow Test Series | Probability | Test 1 | Question: 14
A stick of length $2m$ is broken into two pieces, at a uniformly random chosen break point.The expected length of the larger piece (in meters) is _____
A stick of length $2m$ is broken into two pieces, at a uniformly random chosen break point.The expected length of the larger piece (in meters) is _____
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0 votes
1 answer
17
Made Easy Mock -1
how to approach this question?
how to approach this question?
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1 votes
1 answer
18
Probability Doubt
The expected number of times a 6 appears when a fair die is rolled 10 times is equal to?
The expected number of times a 6 appears when a fair die is rolled 10 times is equal to?
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47 votes
4 answers
19
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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