Recent questions tagged uniform-distribution

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Let $X$ be a random variable uniformly distributed in the interval $[1,3]$ and $Y$ be a random variable uniformly distributed in the interval $[2, 4]$. If $X$ and $Y$ are ... $\_\_\_\_\_\_\_\_$ (rounded off to three decimal places).
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Consider a permutation sampled uniformly at random from the set of all permutations of $\{1,2,3, \cdots, n\}$ for some $n \geq 4$. Let $X$ be the ... independentEither event $X$ or $Y$ must occurEvent $X$ is more likely than event $Y$
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Consider the quadratic equation $x^2+\dfrac{x}{2}+c=0$, where $c$ is chosen uniformly randomly from the interval $[0,1]$. What is the probability that the given quadratic equation has a real ... b^2-4 a c}}{2a}$.$1 / 2$1 / 4$1 / 8$1 / 16$
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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 ... distributed over the interval ([2, 4]). What will be $P(x \geq y)$
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Let $T$ be a subset of $\{1,2, \ldots, n\}$ of size $\frac{n}{2}$, sampled uniformly at random from all subsets of size $\frac{n}{2}$ ... of size $\frac{n}{2}$. What is the probability that $|S \cap T|=\frac{n}{4}$.
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Let $\mathcal{F}$ be the set of all functions mapping $\{1, \ldots, n\}$ to $\{1, \ldots, m\}$. Let $f$ be a function that is chosen uniformly at random from $\mathcal{F}$. Let ... }{n^m}$0<p \leq \frac{1}{m^n}$p=\frac{1}{m}$p=\frac{1}{n}$
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Initially, $N$ white beads are arranged in a circle. A number $k$ is chosen uniformly at random from $\{1, \ldots, N-1\}$. Then a set of $k$ beads is chosen ... None of the above
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Fix $n \geq 4$. Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2, \ldots, n\}$. The initial probability distribution of the particle ... $\pi(n)=1$ and $\pi(i)=0$ for $i \neq n$
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Please list out the best free available video playlist for Uniform Distributions Topic from Probability as an answer here (only one playlist per answer). We'll ... be selected as best.For the full list of selected videos please see here
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The Netherlands is one of the world leaders in the production and sale of tulips. Suppose the heights of the tulips in the green house of rotterdams ... is the probability that a randomly selected tulip is tall enough to pick ____
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For $n>2$, let $a \in \{0,1\}^n$ be a non-zero vector. Suppose that $x$ is chosen uniformly at random from $\{0,1\}^n$. Then, the probability that $\displaystyle{} \Sigma_{i=1}^n a_i x_i$ is an odd number is______________
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Fix $n\geq 4.$ Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2,\dots,n\}.$ Let the initial probability distribution of the ... $\overrightarrow{\pi}(i) = 0$ for $i\neq n$
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Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal place) _______
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You arrive at bus stop some time uniformly distributed between $10:00$ and $10:15$ and bus leaves the bus stop sometime uniformly distributed between $10:00$ and $10:25$. What is the probability of you missing the bus?
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After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means ... that you miss because of th call. Compute the expected value of $M$.
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After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means ... . What is the probability that it arrives in the next $10$ minutes?
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After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means ... Compute the probability that the call arrives between $8.30$ and $8.20$.
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According to Universality of Uniform ,We can get from the uniform distribution to the other distributions and also from other distributions back to the ... Please explain how we would simulate from one distribution to other distribution ?
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Suppose that $X$ is chosen uniformly from $\{1,2,\ldots,100\}$ and given $X =x$, $Y$ is chosen uniformly from $\{1,2,\ldots,x\}. $Then $P(Y = 30)=$\dfrac{1}{ ... 30}$\dfrac{1}{100} \times \left(\dfrac{1}{1} + \ldots +\dfrac{1}{30}\right)$
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Assume that in a traffic junction, the cycle of traffic signal lights is 2 minutes of green(vehicle does not stop) and 3 minutes of red (vehicle stops) ... . The expected waiting time in minutes for the vehicle at the junction is _________