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Recent questions and answers in Probability and Statistics
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GATE BT 2021 | Question: 43
If the values of two random variables $(X,Y)$ are $(121, 360)$, $(242, 364)$ and $(363, 362)$, the value of correlation coefficient between $X$ and $Y$ (rounded off to one decimal place) is ________.
go_editor
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Probability and Statistics
Mar 1, 2021
by
go_editor
1.4k
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gatebt-2021
numerical-answers
probability-and-statistics
statistics
correlation
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0
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2
GATE2019: 22
The median value for the dataset $\left ( 12, 10,16,8,90,50,30,24 \right )$ is ______________.
soujanyareddy13
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Probability and Statistics
Nov 3, 2020
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soujanyareddy13
2.7k
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gate2019
numerical-answers
probability-and-statistics
statistics
median
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0
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3
GATE2020: 24
A normal random variable has mean equal to $0$, and standard deviation equal to $3$. The probability that on a random draw the value of this random variable is greater than $0$ is __________ (round off to $2$ decimal places).
soujanyareddy13
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Probability and Statistics
Nov 3, 2020
by
soujanyareddy13
2.7k
points
gate2020
numerical-answers
probability-and-statistics
probability
mean-and-standard-deviation
0
votes
0
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4
GATE2016-22
Runs scored by a batsman in five one-day matches are $55$, $75$, $67$, $88$ and $15$. The standard deviation is _________
Milicevic3306
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
7.9k
points
gate2016
numerical-answers
probability-and-statistics
statistics
standard-deviation
0
votes
0
answers
5
GATE2017-47
For the probability density $P(x) = 0.5e^{-0.5x}$, the integral $\displaystyle \int_0^{\infty}P(x)dx =$ __________
Milicevic3306
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
7.9k
points
gate2017
numerical-answers
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
6
GATE2015-40
For a discrete random variable $X$, $\textit{ran}(X)=\{0,1,2,3\}$ and the cumulative probability $F(X )$ is shown below: $\begin{array}{|c|c|c|c|c|} \hline X & 0 & 1 & 2 & 3 \\ \hline F(X) & 0.5 & 0.6 & 0.8 & 1.0 \\ \hline \end{array}$The mean value of $X$ is ___________
Milicevic3306
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
7.9k
points
gate2015
numerical-answers
probability-and-statistics
random-variables
mean
0
votes
0
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7
GATE2014-2
If an unbiased coin is tossed $10$ times, the probability that all outcomes are same will be_______ $ \times 10^{-5}$
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
7.9k
points
gate2014
probability-and-statistics
probability
conditional-probability
numerical-answers
0
votes
0
answers
8
GATE2012-45
Consider the data set $14, 18, 14, 14, 10, 29, 33, 31, 25$. If you add $20$ to each of the values, then both mean and variance change both mean and variance are unchanged the mean is unchanged, variance changes the mean changes, the variance is unchanged
Milicevic3306
asked
in
Probability and Statistics
Mar 25, 2018
by
Milicevic3306
7.9k
points
gate2012
probability-and-statistics
statistics
mean-and-variance
0
votes
0
answers
9
GATE2012-40
A disease is inherited by a child with a probability of $1/4$. In a family with two children, the probability that exactly one sibling is affected by this disease is $1/4$ $3/8$ $7/16$ $9/16$
Milicevic3306
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Probability and Statistics
Mar 25, 2018
by
Milicevic3306
7.9k
points
gate2012
probability-and-statistics
probability
0
votes
0
answers
10
GATE2018-42
The probability distribution for a discrete random variable $X$ is given below. $\begin{array}{|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.3 & 0.4 & 0.2 & 0.1 \\ \hline \end{array}$The expectation value of $X$ is (up to one decimal place) _____________
gatecse
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Probability and Statistics
Feb 20, 2018
by
gatecse
1.4k
points
gate2018
numerical-answers
probability-and-statistics
probability
expectation
0
votes
0
answers
11
GATE2018-22
The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 > 1)$ is equal to (up to two decimal places) ____________
gatecse
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in
Probability and Statistics
Feb 20, 2018
by
gatecse
1.4k
points
gate2018
numerical-answers
probability-and-statistics
probability
normal-distribution
0
votes
0
answers
12
GATE2018-16
Standard error is the probability of a type I error in a statistical test the error in estimating a sample standard deviation the standard deviation of a variable that follows standard normal distribution the standard deviation of distribution of sample means
gatecse
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Probability and Statistics
Feb 20, 2018
by
gatecse
1.4k
points
gate2018
probability-and-statistics
statistics
standard-deviation
0
votes
0
answers
13
GATE2018-1
Consider an unfair coin. The probability of getting heads is $0.6$. If you toss this coin twice, what is the probability that the fast or the second toss is heads? $0.56$ $0.64$ $0.84$ $0.96$
gatecse
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Probability and Statistics
Feb 20, 2018
by
gatecse
1.4k
points
gate2018
probability-and-statistics
probability
conditional-probability
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Recent questions and answers in Probability and Statistics