University of Texas at Austin under-graduates have the following characteristics:ClassStandingFreshmanSophomoreJuniorSeniorProportion of Probability ofUT Students Binge Drinking28%24%29%?50%30%25%20%Given a student was binge drinking, com-pute the probability that the student was anunderclassman (Freshman or Sophomore).

Given that P(Freshman)=50%=0.50, P(Sophomore)=30%=0.30, P(Freshman and Sophomore)=0,…

Answered: graduates have the following…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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We consider a group of 4 students among which a rumour is spreading. At time 0, only one studentis aware of the rumour. Whenever two students meet, if one is aware of the rumour and not theother, the second one becomes aware of it. We assume that for any pair of students, the times atwhich they meet forms a Poisson process with rate 1. We also assume that, for the 6 possible pairsof students, we get 6 independent Poisson processes.a. Let A(t) be the number of students aware of the rumour at time t. We admit this is a continuous-time Markov chain. Give its parameters. No proof is required.b. Let T be the first time at which all students become aware of the rumour. Compute E[T ]
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