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There are 5, 673 students enrolled at the University of New Mexico Suppose I as each one of them to pick a number between 1 and 10, and then sum their responses. Call the result Z. We will assume that each student's response is independent and uniformly distributed: clearly E[Z]= 5.5-5.673 31201.5

There are 5, 673 students enrolled at the University of New Mexico Suppose I as each one of them to pick a number between 1 and 10, and then sum their responses. Call the result Z. We will assume that each student's response is independent and uniformly distributed: clearly E[Z]= 5.5-5.673 31201.5

A First Course in Probability (10th Edition)
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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There are 5,673 students enrolled at the University of New Mexico. Suppose I ask each one of them to pick a number between 1 and 10, and then sum their responses. Call the result \( Z \). We will assume that each student's response is independent and uniformly distributed; clearly, \( \mathbb{E}[Z] = 5.5 \times 5,673 = 31,201.5 \). What is the probability that \( Z > 31,500 \)?
Transcribed Image Text:There are 5,673 students enrolled at the University of New Mexico. Suppose I ask each one of them to pick a number between 1 and 10, and then sum their responses. Call the result \( Z \). We will assume that each student's response is independent and uniformly distributed; clearly, \( \mathbb{E}[Z] = 5.5 \times 5,673 = 31,201.5 \). What is the probability that \( Z > 31,500 \)?
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