Some questions need Matlab 1. The waiting time at a bus station can be modeled as a continuous random variable T inunits of minutes. The random variable is statistically described by its probability densityt/3 0sis3/2function f, (1) given by f,(t) ={-(t/5)+4/5 3/2<154. a) Verify that f,(1) as given isotherwiseindeed a valid probability density function. b) Obtain the expected value E{T} and thevariance var{T} of the random variable T. c) Determine the probability Pr{T > E{T}} .2. For the probability density function given in Problem 1, determine the cdf F, (t) of therandom variable T. Plot this cdf (use MATLAB).3. Based on the information given in Problem 1, define the event B= {T > 1} . Obtain theconditional probability density function f,(t / B) of the random variable T and verify thatthe solution proposed is indeed a valid probability density function.4. Based on the information given in Problem 1, define the event B = {T > 1} . Obtain theconditional cdf F, (t/ B) and verify that the solution proposed is indeed a valid probabilitydensity function. Plot this conditional cdf (use MATLAB).5. Based on the work in Problem 3, determine the conditional mean E{T / B} and theconditional variance var{T / B} of the random variable T .

as per our guidelines we are supposed to answer?️ only one question. Kindly repost other questions…

1. The waiting time at a bus station can be modeled as a continuous random variable T in units of minutes. The random variable is statistically described by its probability density t/3 0sis3/2 function f, (1) given by f,(t) ={-(t/5)+4/5 3/2s154. a) Verify that f,(t) as given is otherwise indeed a valid probability density function. b) Obtain the expected value E{T} and the variance var{T} of the random variable T. c) Determine the probability Pr{T > E{T}} .

1. The waiting time at a bus station can be modeled as a continuous random variable T in units of minutes. The random variable is statistically described by its probability density t/3 0sis3/2 function f, (1) given by f,(t) ={-(t/5)+4/5 3/2s154. a) Verify that f,(t) as given is otherwise indeed a valid probability density function. b) Obtain the expected value E{T} and the variance var{T} of the random variable T. c) Determine the probability Pr{T > E{T}} .

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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