Question: Suppose X ∼ E(2). Find a such that P(X > a + 2|X > 2) = 0.4

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 3E: The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the...
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I am working with advanced probabities.

Question: Suppose X ∼ E(2). Find a such that P(X > a + 2|X > 2) = 0.4

On the paper it is a Greek E so I do not believe it is refering to expected value. I am just not quite sure where to start. Am I suppose to understand this as a conditional proability ?

 

Expert Solution
Step 1

It has been given that, X ~ E (2)

Thus, we have,

Statistics homework question answer, step 1, image 1

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