List questions from exponential-distribution

Published on 23 Mar 2026 - 15:57

52

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How do I find P(X > x + y | X > x), y > 0 when X is an exponential RV

Published on 23 Mar 2026 - 4:37

49

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Probability of (exponential) arrival in between two (exponential) events

Published on 22 Mar 2026 - 22:01

58

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$P(T_{1}<T_{2})=\frac{\omega_{1}}{\omega_{1}+\omega_{2}}$

Published on 23 Mar 2026 - 11:49

1.8k

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Bus arrival times and minimum of exponential random variables

Published on 22 Mar 2026 - 16:54

131

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Sequence of i.i.d $\exp(\lambda)$ distributed rv´s. Show that it converges against a rv Z

Published on 22 Mar 2026 - 23:34

51

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Second moment of exp distributed rv and find a sequence of real numbers such that the estimator is unbiased

Published on 22 Mar 2026 - 18:20

204

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Show that if P{$t_0 \le t \le t_0 + t_1 | t \ge t_0$} = P{$t \le t_1$}, then P{$t \le t_1$} = $1 - e^{ct_1}$

Published on 23 Mar 2026 - 10:29

54

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The average time before a person find their group

Published on 23 Mar 2026 - 8:16

648

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Proof on how to sample from a truncated exponential distribution

Published on 23 Mar 2026 - 13:17

58

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Probability $P\{\min{X_1,X_2}\leq X_3\}$?

Published on 23 Mar 2026 - 5:44

153

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How to calculate realization of a random process?

Published on 22 Mar 2026 - 16:20

102

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Find the probability that $P(X_1\leq \alpha \cap X_2\leq X_1)$ and $P(X_1+X_3 \leq \alpha \cap X_1< X_2)$

Published on 23 Mar 2026 - 10:54

329

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Derivation of the expectation of exponential random variable

Published on 22 Mar 2026 - 23:57

326

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Proof of $P(X<Y)$

Published on 23 Mar 2026 - 7:22

List Question

How do I find $E\lfloor X \rfloor$ when $X \sim \text{exp}(2)$?

How do I find P(X > x + y | X > x), y > 0 when X is an exponential RV

Probability of (exponential) arrival in between two (exponential) events

$P(T_{1}<T_{2})=\frac{\omega_{1}}{\omega_{1}+\omega_{2}}$

Bus arrival times and minimum of exponential random variables

Sequence of i.i.d $\exp(\lambda)$ distributed rv´s. Show that it converges against a rv Z

Second moment of exp distributed rv and find a sequence of real numbers such that the estimator is unbiased

Show that if P{$t_0 \le t \le t_0 + t_1 | t \ge t_0$} = P{$t \le t_1$}, then P{$t \le t_1$} = $1 - e^{ct_1}$

The average time before a person find their group

Proof on how to sample from a truncated exponential distribution

Probability $P\{\min{X_1,X_2}\leq X_3\}$?

How to calculate realization of a random process?

Find the probability that $P(X_1\leq \alpha \cap X_2\leq X_1)$ and $P(X_1+X_3 \leq \alpha \cap X_1< X_2)$

Derivation of the expectation of exponential random variable

Proof of $P(X<Y)$

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