. A random variable X gives measurements x between 0 and 1 with a probability function f(x)=12x³-21x²¹ +10x 0≤x≤1 <=0 otherwise (1) Find P(x <=) and P(X>). (1) Find a number k such that P(X s k) = ¹ [74452]
. A random variable X gives measurements x between 0 and 1 with a probability function f(x)=12x³-21x²¹ +10x 0≤x≤1 <=0 otherwise (1) Find P(x <=) and P(X>). (1) Find a number k such that P(X s k) = ¹ [74452]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![10. A random variable X gives measurements x between 0 and 1 with a
probability function
f(x)=12x³-21x² +10x 0≤x≤1
=0
otherwise
(1) Find P(X) and P(x>).
(ii) Find a number k such that P(X ≤ k) = 1
[700 452]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8db8287-0b84-48fa-8850-fe505a15fe17%2Fb579e4c9-ff15-4837-926d-7c09313b11a4%2Folwzfx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10. A random variable X gives measurements x between 0 and 1 with a
probability function
f(x)=12x³-21x² +10x 0≤x≤1
=0
otherwise
(1) Find P(X) and P(x>).
(ii) Find a number k such that P(X ≤ k) = 1
[700 452]
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