The continuous random variable T represents the time in hours that students spend on homework. The cumulative distribution function of T is given by: t< 0, 0 1.5. F(t) : – t* ) 1 Then P(2T > 1)=
The continuous random variable T represents the time in hours that students spend on homework. The cumulative distribution function of T is given by: t< 0, 0 1.5. F(t) : – t* ) 1 Then P(2T > 1)=
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 12CR
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![The continuous random variable \( T \) represents the time in hours that students spend on homework. The cumulative distribution function of \( T \) is given by:
\[
F(t) =
\begin{cases}
0 & \text{if } t < 0, \\
k(2t^3 - t^4) & \text{if } 0 \leq t \leq 1.5, \\
1 & \text{if } t > 1.5.
\end{cases}
\]
Then \( P(2T > 1) = \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9a59ff3-32cb-4a72-806c-172db4d1cb49%2Fa1240ddf-d15b-4603-b9ba-da8314867e00%2Fwjri13v_processed.png&w=3840&q=75)
Transcribed Image Text:The continuous random variable \( T \) represents the time in hours that students spend on homework. The cumulative distribution function of \( T \) is given by:
\[
F(t) =
\begin{cases}
0 & \text{if } t < 0, \\
k(2t^3 - t^4) & \text{if } 0 \leq t \leq 1.5, \\
1 & \text{if } t > 1.5.
\end{cases}
\]
Then \( P(2T > 1) = \)
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