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Recent questions tagged random-variable
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GATE DS&AI 2024 | Question: 47
Let $X$ be a random variable exponentially distributed with parameter $\lambda>0$. The probability density function of $X$ is given by: \[ f_{X}(x)=\left\{\begin{array}{ll} \lambda e^{-\lambda x}, \quad x \geq 0 \\ 0, & \text ... $X$, respectively, the value of $\lambda$ is (rounded off to one decimal place).
Arjun
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Probability
Feb 17
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Arjun
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GATE CSE 2024 | Set 2 | Question: 34
Let $x$ and $y$ be random variables, not necessarily independent, that take real values in the interval $[0,1]$. Let $z=x y$ and let the mean values of $x, y, z$ be $\bar{x}, \bar{y}, \bar{z}$ ... $\bar{z} \leq \bar{x} \bar{y}$ $\bar{z} \geq \bar{x} \bar{y}$ $\bar{z} \leq \bar{x}$
Arjun
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Probability
Feb 16
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Arjun
2.1k
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probability
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Memory Based GATE DA 2024 | Question: 42
Consider two random variables, (x) and (y), each following a uniform distribution. Specifically, (x) is uniformly distributed over the interval ([1, 3]), and (y) is uniformly distributed over the interval ([2, 4]). What will be $P(x \geq y)$
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Feb 5
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GO Classes
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gate2024-da-memory-based
goclasses
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numerical-answers
6
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GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 12
Let $x$ be a random variable possessing the probability density function $ f(x)= \begin{cases}c x & , x \in[0,10] \\ 0 & , \text { otherwise }\end{cases} $ where $c \in \mathbb{R}$. The probability that $x \in[1,2]$ is ______. $\dfrac{1}{100}$ $\dfrac{3}{100}$ $\dfrac{5}{100}$ $\dfrac{7}{100}$
GO Classes
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Jan 28
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GO Classes
425
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3
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GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 28
Suppose that $X$ and $Y$ are independent random variables such that each is equal to $0$ with probability $.5$ and $1$ with probability $.5.$ Find $P(X+Y \leq 1)?$ (Answer up to $2$ decimals)
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GO Classes
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A simple random sample of 100 observations was taken from a large population. The sample mean and standard deviation were determined to be 80 and 12 respectively. The standard error of mean is ____________
Gaurav Kadyan
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Sep 27, 2023
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Gaurav Kadyan
445
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Probability | Bivariate Random Distribution
Debargha Mitra Roy
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Probability
Sep 21, 2023
by
Debargha Mitra Roy
188
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probability
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