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Question 5. Suppose there are six students. Assume each student chooses to sit down at table 1 with a probability of 0.6 and at table 2 with a probability of 0.4. Each student makes their decision independently. Let N denote the number of chairs at each table. (a) Let N-4. What is the probability that table 1 is full, i.e, at least four students choose to sit down at table 1? (b) Find the smallest possible integer N such that the probability of table 1 being full is less than 10%.

Question 5. Suppose there are six students. Assume each student chooses to sit down at table 1 with a probability of 0.6 and at table 2 with a probability of 0.4. Each student makes their decision independently. Let N denote the number of chairs at each table. (a) Let N-4. What is the probability that table 1 is full, i.e, at least four students choose to sit down at table 1? (b) Find the smallest possible integer N such that the probability of table 1 being full is less than 10%.

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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Question 5. Suppose there are six students. Assume each student chooses to sit down at table 1 with a probability of 0.6 and at table 2 with a probability of 0.4. Each student makes their decision independently. Let N denote the number of chairs at each table. (a) Let N=4. What is the probability that table 1 is full, i.e, at least four students choose to sit down at table 1? (b) Find the smallest possible integer N such that the probability of table 1 being full is less than 10%.
Transcribed Image Text:Question 5. Suppose there are six students. Assume each student chooses to sit down at table 1 with a probability of 0.6 and at table 2 with a probability of 0.4. Each student makes their decision independently. Let N denote the number of chairs at each table. (a) Let N=4. What is the probability that table 1 is full, i.e, at least four students choose to sit down at table 1? (b) Find the smallest possible integer N such that the probability of table 1 being full is less than 10%.
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