Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.70 and P(B) = 0.30. If an amount is zero, enter "0". a. What is P(AB)? b. What is P(A/B)? c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer. -Select your answer, because P(A/B)-Select your answer ✓ P(A).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Assume that we have two events, \( A \) and \( B \), that are mutually exclusive. Assume further that we know \( P(A) = 0.70 \) and \( P(B) = 0.30 \).

If an amount is zero, enter “0”.

a. What is \( P(A \cap B) \)?

[Input box]

b. What is \( P(A|B) \)?

[Input box]

c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer.

- [Dropdown] - because \( P(A|B) \) - [Dropdown] - \( P(A) \).

d. What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

- [Dropdown]
Transcribed Image Text:Assume that we have two events, \( A \) and \( B \), that are mutually exclusive. Assume further that we know \( P(A) = 0.70 \) and \( P(B) = 0.30 \). If an amount is zero, enter “0”. a. What is \( P(A \cap B) \)? [Input box] b. What is \( P(A|B) \)? [Input box] c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer. - [Dropdown] - because \( P(A|B) \) - [Dropdown] - \( P(A) \). d. What general conclusion would you make about mutually exclusive and independent events given the results of this problem? - [Dropdown]
Expert Solution
Step 1: Define the terms independent and mutually exclusive events.

Since you have posted a question with multiple sub-parts, we will solve first three sub-

parts for you. To get remaining sub-part solved please repost the complete question and

mention the sub-parts to be solved.


Independent events: 

Let A and B be any two events are said to be independent if,

Statistics homework question answer, step 1, image 1

Mutually exclusive events: 

The two events are said to be mutually exclusive events if,

Statistics homework question answer, step 1, image 2

steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman