please help 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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Answered: The continuous random variable T…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

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Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

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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: t< 0, 0 1.5. F(t) : – t* ) 1 Then P(2T > 1)=