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Recent questions tagged expectation
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GATE ECE 2020 | Question: 25
The two sides of a fair coin are labelled as $0$ to $1$. The coin is tossed two times independently. Let $M$ and $N$ denote the labels corresponding to the outcomes of those tosses. For a random variable $X$, defined as $X = \text{min}(M, N)$, the expected value $E(X)$ (rounded off to two decimal places) is ___________.
go_editor
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Probability and Statistics
Feb 13, 2020
by
go_editor
1.9k
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187
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gate2020-ec
numerical-answers
probability-and-statistics
probability
independent-events
random-variable
expectation
0
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0
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2
GATE ECE 2019 | Question: 18
If $X$ and $Y$ are random variables such that $E\left[2X+Y\right]=0$ and $E\left[X+2Y\right]=33$, then $E\left[X\right]+E\left[Y\right]=$___________.
Arjun
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Probability and Statistics
Feb 12, 2019
by
Arjun
6.0k
points
84
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gate2019-ec
numerical-answers
probability-and-statistics
probability
random-variable
expectation
0
votes
0
answers
3
GATE ECE 2015 Set 3 | Question: 27
A fair die with faces $\{1, 2, 3, 4, 5, 6\}$ is thrown repeatedly till $’3’$ is observed for the first time. Let $X$ denote the number of times the die is thrown. The expected value of $X$ is _______.
Milicevic3306
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Probability and Statistics
Mar 28, 2018
by
Milicevic3306
15.8k
points
38
views
gate2015-ec-3
numerical-answers
probability-and-statistics
probability
expectation
0
votes
0
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4
GATE ECE 2015 Set 2 | Question: 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 _______.
Milicevic3306
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Probability and Statistics
Mar 28, 2018
by
Milicevic3306
15.8k
points
41
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gate2015-ec-2
numerical-answers
probability-and-statistics
probability
random-variable
expectation
0
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0
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5
GATE ECE 2014 Set 3 | Question: 28
A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is _______ .
Milicevic3306
asked
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
15.8k
points
32
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gate2014-ec-3
probability-and-statistics
probability
expectation
numerical-answers
0
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0
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6
GATE ECE 2014 Set 1 | Question: 49
Let $X$ be a real-valued random variable with $E[X]$ and $E[X^{2}]$ denoting the mean values of $X$ and $X^{2},$ respectively. The relation which always holds true is $(E[X])^{2}>E[X^{2}]$ $E[X^{2}]\geq (E[X])^{2}$ $E[X^{2}] = (E[X])^{2}$ $E[X^{2}] > (E[X])^{2}$
Milicevic3306
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
15.8k
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43
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gate2014-ec-1
probability-and-statistics
probability
random-variable
expectation
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