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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 asked in Probability and Statistics Mar 1, 2021

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GATE2019: 22
The median value for the dataset $\left ( 12, 10,16,8,90,50,30,24 \right )$ is ______________.

soujanyareddy13 asked in Probability and Statistics Nov 3, 2020

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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 asked in Probability and Statistics Nov 3, 2020

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GATE2016-22
Runs scored by a batsman in five one-day matches are $55$, $75$, $67$, $88$ and $15$. The standard deviation is _________

Milicevic3306 asked in Probability and Statistics Mar 26, 2018

by Milicevic3306

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GATE2017-47
For the probability density $P(x) = 0.5e^{-0.5x}$, the integral $\displaystyle \int_0^{\infty}P(x)dx =$ __________

Milicevic3306 asked in Probability and Statistics Mar 26, 2018

by Milicevic3306

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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 asked in Probability and Statistics Mar 26, 2018

by Milicevic3306

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GATE2014-2
If an unbiased coin is tossed $10$ times, the probability that all outcomes are same will be_______ $ \times 10^{-5}$

Milicevic3306 asked in Probability and Statistics Mar 26, 2018

by Milicevic3306

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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

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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 asked in Probability and Statistics Mar 25, 2018

by Milicevic3306

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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 asked in Probability and Statistics Feb 20, 2018

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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 asked in Probability and Statistics Feb 20, 2018

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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 asked in Probability and Statistics Feb 20, 2018

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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 asked in Probability and Statistics Feb 20, 2018

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