In Muizenberg, 52% of the citizens are surfers, and 48% don't surf. In the Cape Town city centre, 47% of the citizens are surfers, and 53% don't surf. Suppose a random sample of 100 citizens are surveyed from Muizenberg, and another 100 citizens from the Cape Town city centre. What is the probability that the survey will show a greater percentage of surfers in the Cape Town city centre than in Muizenberg?

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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In Muizenberg, 52% of the citizens are surfers, and 48% don't surf.
In the Cape Town city centre, 47% of the citizens are surfers, and 53% don't surf.
Suppose a random sample of 100 citizens are surveyed from Muizenberg, and another 100 citizens from the Cape Town city centre. What is the
probability that the survey will show a greater percentage of surfers in the Cape Town city centre than in Muizenberg?
Transcribed Image Text:In Muizenberg, 52% of the citizens are surfers, and 48% don't surf. In the Cape Town city centre, 47% of the citizens are surfers, and 53% don't surf. Suppose a random sample of 100 citizens are surveyed from Muizenberg, and another 100 citizens from the Cape Town city centre. What is the probability that the survey will show a greater percentage of surfers in the Cape Town city centre than in Muizenberg?
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