Purchase Solution

Conditional Distribution of Point X

Not what you're looking for?

Ask Custom Question

A particle arrives to a random point x uniformly distributed on [-1; 1]. There are two devices independently detecting this particle; one detects the particle with probability p(x) and another with probability q(x). What is the conditional distribution of the point x of arrival, given that the particle was detected by both devices.

Purchase this Solution
Solution Summary

The solution determines the conditional distribution of point x.

Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

View More Free Quizzes
Related BrainMass Solutions

  • Finding the Conditional Distribution of X and Y with Given Z = z

    43897 Finding the Conditional Distribution of X and Y with Given Z = z Let X.Y,Z have a joint pdf f(x,y,z)= 2(x+y+z)/3, 0<x<1, 0conditional distribution of X and Y given Z=z, and compute E(X+y|z).

  • Joint probability distribution - marginal and conditional

    1 0.10 0.15 Y 3 0.2 0.3 5 .1 .15 Find the marginal distribution of x and y Find the conditional distribution of y given x=2 See attached file The solution address joint probability

  • Discussing the Distribution Theory

    456712 Discussing the Distribution Theory 1. Let the random variable X have the pdf f(x) = 2/sqrt(2(pi)) e^(-x^2/(2) ), 0<xof X.

  • Distribution Theory

    92340 Distribution Theory Marginal and Conditional Probability Parameter Distribution. See attached file for full problem description. Please see the attached file. a) Let and be the marginal distributions of X and Y respectively.

  • Mixing the Constant with the Normal

    The conditional distribution and the Bivariate Normal Distribution is determined.

  • Probability - Conditional Distribution

    variable, with P(N=n)=p_n (i) Find the conditional distribution of X given N (ii) Find the conditional expectation E(X|N) and conditional variance Var(X|N) (c) Express Var(X) in terms of p, E(N), and Var(N), by using the law of total variance.

  • Probability and conditional distributions

    Also since Y ~ Poisson( ), we get the conditional distribution of X|Y as = = (Note: I think you understand all the steps.

  • Normal distribution :Probability and conditional probability

    209915 Normal distribution :Probability and conditional probability X~N(500,400) Determine the following Random Variable X a) P( X <= 515 ) b) P( X <= 515 | X > 450 ) (note: "|" implies given) c) P( 20 < X^(1/2) <= 25 ) ( i.e. 20 < "square root

  • Probability: Conditional and Marginal Probabilities

    Response to Student's follow-up question: I have added three tables to the bottom of the Word document showing the conditional distribution of Y, the joint distribution of X and Y, and the marginal distribution of Y.

View More Related Solutions