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Problems
Contests
National and Regional Contests
India Contests
India LIMIT
2019 LIMIT
2019 LIMIT Category C
Problem 6
Problem 6
Part of
2019 LIMIT Category C
Problems
(2)
connectedness
Source: LIMIT 2019 CCS1 P6
4/28/2021
Which of the following are true?
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A
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is connected
<span class='latex-bold'>(A)</span>~GL(n,\mathbb R)\text{ is connected}
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A
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<
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is connected
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B
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)
is connected
<span class='latex-bold'>(B)</span>~GL(n,\mathbb C)\text{ is connected}
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B
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<
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G
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n
,
C
)
is connected
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C
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O
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)
is connected
<span class='latex-bold'>(C)</span>~O(n,\mathbb R)\text{ is connected}
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C
)
<
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O
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is connected
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D
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<
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O
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is connected
<span class='latex-bold'>(D)</span>~O(n,\mathbb C)\text{ is connected}
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D
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<
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O
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n
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C
)
is connected
abstract algebra
normal distro, find variance
Source: LIMIT 2019 CCS2 P6
4/28/2021
Let
X
X
X
be normally distributed with mean
μ
\mu
μ
and variance
σ
2
>
0
\sigma^2>0
σ
2
>
0
. What is the variance of
e
X
e^X
e
X
?
probability