# Tagged Questions

For questions involving random variables uniformly distributed on a subset of a measure space. To be used with [probability] or [probability-theory] tag.

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### A arrives at office at 8- 10 am everyday, B arrives at 9-11 am everyday. Probability B arrives before A?

As the title indicated, A arrives at office at 8- 10 am everyday, B arrives at 9-11 am everyday. Probability that One day B arrives before A? I am bit confused whether to use Poisson (because arrival ...
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### If $X_1,X_2,X_3$ are three different uniform random variables, calculate $E(X_1 - 2X_2 + X_3)$. [closed]

Suppose that a random variable $X_1$ is distributed uniform $[0,1]$, $X_2$ is distributed uniform $[0,2]$ and $X_3$ is distributed uniform $[0,3]$. Assume that they are all independent. a) Calculate ...
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### Probability of getting the same number three times.

If I have a set of numbers $\{1 \ldots n\}$ where $n \ge 1$ and I pick $3$ numbers from the set independently and uniformly. Whats the probability I'll get all $2$'s, the probability I get all the ...
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### Find the probability of $\max[X,Y]<\frac{1}{2}$?

$X$ and $Y$ are uniformly distributed random variable on $[-1,1]$. Find the probability of $\max[X,Y]<\frac{1}{2}$. I calculated it using graphically that the region where the where $[X,Y]$ is ...
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### Uniform distribution density function

Let's say we have two random variables $T_1$ and $T_2$ and the joint density function of the two is uniform over the region $0\leq t_1\leq t_2 \leq L$, where L is a positive constant. Then the area of ...
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### question about the conditional disjoint probability.

I am trying to solve a problem like the following. Q) The event that a man arrives at a bank $\sim Poisson(\lambda)$. If two men visited the bank between 9:30 AM and 10:30 AM, what is the ...
Let $Y_1=\theta+\epsilon_1$ and $Y_2=\theta+\epsilon_2$ where $\epsilon_1$ and $\epsilon_2$ are iid uniform in {-1,1}. Define the confidence set S for $\theta$ as: $S={Y_1-1}$ if $Y_1=Y_2$ and \$S={\...