Question: Task-3 - Probability A. Consider the random variables A, B, and C. Which one(s) of the following equalities may not always be true? 1.P(A, B)

Task-3 - Probability

A.

Consider the random variables A, B, and C. Which one(s) of the following equalities may not always be true?

1.P(A, B) = P(A) P(B) P(A|B) 2.P(A, B) = P(A) P(B) 3.P(A, B) = P(A|B) P(B) + P(B|A) P(A)

4.P(A,B,C)=P(C|A) P(B|C,A) P(A)

B.

If P(A|B) = P(A), can we then say P(A|C,B) = P(A|C)? If no, can you provide a counter- example?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

Part 1: Hypothesis testing with means You might recall that Lab Activity #10 focused exclusively on giving you practice conducting and reasoning through hypothesis testing problems where data was in...

Q:

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

Q:

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

Q:

Please answer the following questions in order. CHAPTER 17 & 20 One-sample t test Note: For this set of multiple-choice questions, we assume the distributions of x and x are Normally distributed. In...

Q:

MATH S350 TMA 01 Hints Question 1 Let A and B be the event that water is contaminated with excessive amount of pollutant A and pollutatnt B respectively. Remarks: 1. Half of those communities whose...

Q:

QUESTION 1 Let A and B be independent events.Which of the following is always TRUE for these events? A.P(A and B) = P(A) P(B) B.P(A or B) = P(A) + P(B) C.P(A given B) = P(B) D.All of the above are...

Q:

One important measure of workers' performance is their attendance record. A personnel manager at a large company with a serious absenteeism problem undertook a two-year study. She took a random...

Q:

Font Paragraph Styles Editing VDice Sensitivity Editor Reuse Files Probability Distributions Assignment b. Whom in the sandand deviation for the then that have high cholester Dice (Round to 1 decimal...

Q:

STAT*2060DE Questions for Assignment #2 Please submit your responses to this question on the D2L quiz labelled \"Assignment #2\". Please input your answer in decimal form, and not as a fraction (the...

Q:

STAT*2060DE Questions for Assignment #2 Please submit your responses to this question on the D2L quiz labelled \"Assignment #2\". Please input your answer in decimal form, and not as a fraction (the...

Q:

Tire pressure in a certain car is a normally distributed random variable with mean 30 psi (pounds per square inch) and standard deviation 2 psi. The manufacturer's recommended correct inflation range...

Q:

Under the percentage-of-completion method, how are the Construction in Process and the Billings on Construction in Process accounts reported in the balance sheet?

Q:

8. Rho measures the sensitivity of an option's price to changes in ... A. time to maturity. B. underlying asset prices. C. historical volatility. D. interest rates

Q:

Discuss several ways ( at least four ways ) to improve the requirement process and thus, a project team can avoid a situation where too many changes to the project requirements occur at the later...

Q:

=+What steps would you want to take before participating in the conversation?

Q:

=+1. You are a social media manager for a local school system. Some of your colleagues have been watching some larger brands be creative with their writing style, embracing a snarky approach. What...

Q:

=+3. You are asked to do a social media communication audit for your university. Identify the internal and external characteristics of its social media presence, and make three recommendations based...