Purchase Solution

Problems: Probability, Markov Chain, Baye's Theorem

Not what you're looking for?

Ask Custom Question

1. A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag, what is the probability that the second marble is yellow, given that the first marble was yellow?

2. Given the following information, calculate the Predictive value positive and the Predictive value negative.

Prevalence =5%
Sensitivity =85%
Specificity =74%

3. Find a steady state distribution vector for the Markov chain with transition

[0.25 0.75]
P=
[0.2 0.8]

4. A couple has 8 foster children, including 3 girls and 5 boys. Two-thirds of the girls have brown eyes. What is the probabiliy that a randomly selected child is a brown-eyed girl?

5. The probability of moving from a state i to a state j is called the?

6. Given the following information, compute the PVP using Bayes' Theorem. Prevalence = 20% Sensitivity = 50% Specificity = 75%

Purchase this Solution
Solution Summary

This solution is comprised of detailed step-by-step calculations and analysis of the given problems related to Statistics and provides students with a clear perspective of the underlying concepts.

Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

View More Free Quizzes
Related BrainMass Solutions

  • Bayes' Theorem: Uses for Business-related Questions

    (b) What does this theorem allow you to do that traditional statistics do not? In Baye's Theorem, evidence helps confirm our suspicions more if we thought it were more unlikely to occur.

  • Why is using Bayes' theorem important

    (b) What does this theorem allow you to do that traditional statistics do not? In Baye's Theorem, evidence helps confirm our suspicions more if we thought it were more unlikely to occur.

  • Statistics - Baye's Theorem

    Thank you Solution to a problem on Baye's theorem is explained step by step in this posting.

  • Stochastic Processes : Poisson Process and Markov Chains

    Then {X0,X1,X2,.. .} is a Markov chain. (a) Find the transition probabilities of the Markov chain. (b) Find the stationary distribution of the Markov chain.

  • Probability

    It is a baye's theorem problem.

  • Markov Chain

    17587 Markov Chain Please see the attached file for the fully formatted problems. At the beginning of each year, my car in good, fair, or broken-down condition.

  • Statistics

    The theorem allows a person to use the theorem in order to make sure that rational rules are used when taking advantage of the probability forms provided by Baye himself.

  • Markov Chain: Drawing the State Diagram of the Chain

    392323 Markov Chain: Drawing the State Diagram of the Chain See attached file for better format.

  • Branching Process - Markov Chain

    Here m = 1, Thus the extinction probability is 1. Hence the probability of hitting 0 is 1. The solution shows that the probability of extinction in a Markov chain is certain if it is a branching process and martingale.

View More Related Solutions