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A professor hopes to identify students in her class by the last 4 digits of their UIN. Assume each of the 10000 configurations 0000 to 9999 are equally likely. (a) Provide an expression for the probability that at least two students in a class of size n share the same 4 digits. (b) The professor has 15 students in her class. What is the chance that at least two have the same last 4 digits? (c) What is the smallest class size for which the probability that at least two students have the same digits is at least 0.1?

A professor hopes to identify students in her class by the last 4 digits of their UIN. Assume each of the 10000 configurations 0000 to 9999 are equally likely. (a) Provide an expression for the probability that at least two students in a class of size n share the same 4 digits. (b) The professor has 15 students in her class. What is the chance that at least two have the same last 4 digits? (c) What is the smallest class size for which the probability that at least two students have the same digits is at least 0.1?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A professor hopes to identify students in her class by the last 4 digits of their UIN. Assume each of the 10000 configurations 0000 to 9999 are equally likely. (a) Provide an expression for the probability that at least two students in a class of size n share the same 4 digits. (b) The professor has 15 students in her class. What is the chance that at least two have the same last 4 digits? (c) What is the smallest class size for which the probability that at least two students have the same 4 digits is at least 0.1?
Transcribed Image Text:A professor hopes to identify students in her class by the last 4 digits of their UIN. Assume each of the 10000 configurations 0000 to 9999 are equally likely. (a) Provide an expression for the probability that at least two students in a class of size n share the same 4 digits. (b) The professor has 15 students in her class. What is the chance that at least two have the same last 4 digits? (c) What is the smallest class size for which the probability that at least two students have the same 4 digits is at least 0.1?
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