MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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]
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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
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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

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