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33 votes
4 answers
1
GATE CSE 2019 | Question: 47
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal place) _______
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal...
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61 votes
3 answers
2
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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24 votes
2 answers
6
GATE CSE 2020 | Question: 45
For $n>2$, let $a \in \{0,1\}^n$ be a non-zero vector. Suppose that $x$ is chosen uniformly at random from $\{0,1\}^n$. Then, the probability that $\displaystyle{} \Sigma_{i=1}^n a_i x_i$ is an odd number is______________
For $n>2$, let $a \in \{0,1\}^n$ be a non-zero vector. Suppose that $x$ is chosen uniformly at random from $\{0,1\}^n$. Then, the probability that $\displaystyle{} \Sigm...
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4 votes
3 answers
8
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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2 votes
1 answer
14
GATE Overflow Test Series | Mock GATE | Test 6 | Question: 27
A stick of length $10\;\text{m}$ is broken into two pieces, at a randomly chosen break point. The expected length of the shorter piece (in meters) is _______
A stick of length $10\;\text{m}$ is broken into two pieces, at a randomly chosen break point. The expected length of the shorter piece (in meters) is _______
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