Answered: Let the event A = {Y ≤ 0.36}. Find the…

Let the event A = {Y ≤ 0.36}. Find the conditional PDF (and the range) of Y given A and the expecte value of Y given A. Please provide the solution step by step.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Continuous random variables X and Y have the following joint PDF:
£2.5 x²,
10,
f(x, y) =
-1 ≤x≤1, 0≤ y ≤r²
otherwise.
Let the event A = {Y ≤ 0.36}.
Find the conditional PDF (and the range) of Y given A and the expected
value of Y given A. Please provide the solution step by step.

Expert Solution

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Step 1: given information

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Step 2: Explanation

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Step 3: the marginal PDF

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Step 4: conditional pdf

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Solution

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Solved in 5 steps with 3 images

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Follow-up Questions

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Follow-up Question

i think in step 3 marginal of pdf y is wrong because of y's range is wrong.
in the question -1<= x <= 1 and 0 <= y <= x^2.
could you check?

Solution

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