In a large city, 20% of the population uses public transportation to commute to work. A survey is conducted, and a sample of 500 people is taken. What is the probability that at least 100 people in the sample use public transportation? How does the size of the sample affect the accuracy of the probability estimate, and what is the optimal sample size to obtain a reliable estimate?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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In a large city, 20% of the population uses public transportation to commute to work. A survey is conducted, and a sample of 500 people is taken. What is the probability that at least 100 people in the sample use public transportation? How does the size of the sample affect the accuracy of the probability estimate, and what is the optimal sample size to obtain a reliable estimate?
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