probability

  1. Understanding proof of martingale transform being supermartingale
  2. Why is intersection of two independent set probability a multiplication process?
  3. Probability of dice roll (board games)
  4. Distribution of infinite sum of Bernoulli

  5. Expectation over all ray directions
  6. Calculate marginal distribution, $P(X=0|Y > 0)$, expected value and variance.
  7. Point from unit cube

  8. For two random variables $X_1 + X_2$ and $\min(X_1,X_2)$ find the joint-distribution and the covariance

  9. How to solve conditional expectation problem?
  10. Derivation of Morris's Algorithm

  11. Brownian motion: find the backward conditional probability

  12. From correlated random variables to uncorrelated random variables

  13. Probability to winning chess

  14. Relation between probability and expected value
  15. Linear algebra problem relating to normal equations for linear model with linear constraints
  16. Simplify $\sum (x_i- \mu)^2$

  17. Probability of 1 number not getting spun in roulette for 243 spins?

  18. Compute the number of non statistics majors

  19. Chord of a circle

  20. Dependencies on a Directed Acyclic Graph

  21. About a probability density function

  22. Probability of repeating number in next round

  23. Comparing two Erlang Distributed Random Variables

  24. Find the joint disribution
  25. Probability of randomly generating same four number sequence (i.e. 3767)

  26. Almost surely convergent
  27. 10 faced die success chance

  28. Calculate the probability $P(V^2-4UW>0)$

  29. Does this uniquely define a conditional expectation?
  30. Bernoulli scheme, probability of failure
  31. probability that of 5 draws, you get 3 aces, with replacement?
  32. Probability: Continuous random variable
  33. Calculate expected value of random variable $Z=\min\left\{X,Y\right\}$
  34. Find probability density function for random variable of fair coin toss

  35. Probability Inequality with maximum
  36. A generalization of Kolmogorov's maximal inequality

  37. What is the theory behind rigorous hypothesis testing?

  38. Calculate probability $P(\min\left\{X,Y\right\} \leq x)$ and $P(\max\left\{X,Y\right\} \leq x)$
  39. Calculating MISE
  40. Find the probability of the inequality.
  41. Deck of cards combination probability

  42. Conflicting notation of the term random variable

  43. Probability question (dependent events )

  44. Martingale Maximal function Inequality

  45. Distribution of the Number of Distinct Items in a Sequence of Independent Random Variables
  46. Arithmetic error in Feller's Introduction to Probability?

  47. Riddle, Probably dart game

  48. Relation between exponential and gamma distribution

  49. Probabilities in a Segmented Poisson Poisson
  50. Find the MOM estimate and the MLE of the Pareto distribution.
  51. Linearity of expectations when the upper limit of sum is an RV
  52. If X is isotropic random vector, then is the centered random vector X - E[X] also an isotropic random vector?

  53. Invariant probability starting in transient class

  54. roll a dice two times. Calculate covariance $\mathbb{C}ov(X,Y)$ . Calculate correlation coefficient.

  55. Expected Number of Coin Tosses to Get Five Consecutive Heads
  56. Explain the Circular Error Probable formula mentioned in this article

  57. Expectation: empty jars
  58. An expectation question
  59. When is $E[ (V-E[V|W])^2 \mid V=v]= \text{constant}$ for all $v$.

  60. Three points inside a square
  61. Belief Propagation Algorithms for Graphical Models with Cycles?
  62. Conditional expectation of standard Brownian motion process
  63. What is wrong with this definition of a discrete random variable?

  64. Show that $KL_X(\theta;\psi) = (\theta-\psi)^2/2$.

  65. A question related to Bernouli Distribution success and failure

  66. Probability density function of an exponential minus its integer part:
  67. Question about joint density function and conditional expectation
  68. Optimal probability mass function with domain $\mathbb N^+$
  69. A regular insurance claimant is trying to hide three fraudant claims among seven genuine claims.
  70. Finding E[XY] to be used in Covariance in a joint probability question

  71. How do I know when to use the Law of total probability?
  72. Joint probability question and conditional density function

  73. Difference of two exponentials
  74. On if $X \sim N(0,1)$ Then $ \frac{1}{\sqrt{2 \pi}} \int_{- \infty}^X e^{-x^2/2} \, dx \sim U[0,1] $

  75. Expectation of Random variable times indicator function of zero probability event is equal zero

  76. How to calculate the probability of $3$ heads out of $10$ coins IF each coin has a different probability for head
  77. Expected Value Proof - Law of Total Expectation.
  78. Showing that if six people stand in a ring, then the probability of exactly $t$ people standing between Q and R in the clockwise direction is $1/5$

  79. What is Intuitive Probablity?
  80. Almost sure convergence of product of i.i.d variables.

  81. CDF of Y given X is a normal distribution

  82. Probability problem that involves number theory
  83. Probability: 2 independent events
  84. Find joint probability and calculate $\mathbb{E}(X)$

  85. Writing a Set in Terms of a Sequence of Sets
  86. Problem regarding taking turns to toss a coin

  87. Law of total expectation?

  88. Finding Joint Probability Using Marginal Density Functions?
  89. A probabilistic average integral

  90. Probability of an element to appear in a different set after permutation.

  91. Counting number of paths on a triangular lattice

  92. How do I get the Likelihood of this Bayesian parameter $\theta$ in the following conditional equation?
  93. Is a standard normal r.v. the only r.v which square to a chi-square r.v with 1 df?
  94. Probability of drawing all 4 balls
  95. Convergence/Stability of SDE that depends on an ergodic process

  96. bivariate transformation ends up with only one variable in the joint distribution?

  97. How to prove that $\sum_{i=0}^{\infty} i^2 P(X\geq i)= \frac{E(X^3)}{3}+\frac{E(X^2)}{2}+\frac{E(X)}{6}$?
  98. How often will reputation of a user be a prime number in this model?
  99. Normal Distribution vs. Standard Normal Distribution vs. Gaussian Distribution?

  100. What is maximum probability of getting some set inside a Generalized Arithmetic Progression?