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 \( P(2T > 1) = \)

Answered: Image /qna-images/answer/a1240ddf-d15b-4603-b9ba-da8314867e00.jpg

Answered: The continuous random variable T…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

See similar textbooks

Similar questions

The life of an electronic device is known to have the exponential distributionwith parameter lamda=1/1000 .(i) What is the probability that the device lasts more than 1000 hours?(ii) What is the probability it will last less than 1200 hours?(iii) Find the mean and variance of the life of the electronic device.
The Elo Chess Rating System is a method for predicting scores from a chess match (in this case under a certain scenario). The probability of getting a certain score (for any real number x) is f(x)=(e^-(x-1000)/300)/(1+e^-(x-1000)/300) The cumulative distribution function (for any real number x) is F(x)=1/(1+e^-(x-1000)/300) What is the probability of getting a score of 699?Use 4 decimal placesWhat is the probability of getting a score less than 699?Use 4 decimal placesWhat is the probability of getting a score greater than 1509?Use 4 decimal placesWhat is the probability of getting a score between 699 and 1509?Use 4 decimal places
Suppose that the time-to-failure of a system has a distribution with the following pdf: f(x) = 0.1e^(-0.1x) What is the probability that the failure occurs between 5 and 20? a). 0.23 b). 0.47 c). 0.088 d). 0
Let X₁, X₂ be IID with \Exp(1), the standard exponential distribution. Show that Z = X₁/X₂ has an F-distribution. Determine the degrees of freedom of this F- distribution.
Find the mean and variance for the probability distribution given by f(x)= 2x k(k+1)* -,x=1,2,3,...k
For the continuous probability function f(x ) = kx^2e^-x when 0≤x≤1. Find (a)k (b)mean (c)variance
A random variable X has a distribution function given by; f(x)={kx; 0<or=x<or=1, k(4-x^2); 1<or=x<or=2), 0: elsewhere}. Find the cumulative distribution function and sketch it.
Find the mean of the random variable X with PDF S 3x² _if 0
If X ∼ Gamma(2, 5), find E(X^2 ) andE(X^4 ) Do I simply use the pdf for gamma square it, then find the expected value of that?
Show all work. Do not reuse a former solution.
A random variable X has an exponential distribution with probability distribution function is given byf ( x ) = { 3 e ^(− 3 x) , f o r x ≥ 0 , 0 , o t h e r w i s e .Find probability that X is not less than 2.
please be clear

SEE MORE QUESTIONS

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

SEE MORE TEXTBOOKS

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)=