It is known that 18% of the students in the evening shift at UPIICSA are smokers and that 15% of those in the morning shift are smokers. Independent random samples of 50 students are chosen from each -What is the probability that the proportion of smokers in the sample in the evening shift is greater than in the morning shift? -Find the probability that the proportion of smokers in the evening shift sample is at least 2% greater than that in the morning shift sample.

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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It is known that 18% of the students in the evening shift at UPIICSA are smokers and that 15% of those in the morning shift are smokers. Independent random samples of 50 students are chosen from each

-What is the probability that the proportion of smokers in the sample in the evening shift is greater than in the morning shift?
-Find the probability that the proportion of smokers in the evening shift sample is at least 2% greater than that in the morning shift sample.

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