In a large university, 60% of students play sports, 30% are involved in the arts, and 10% participate in neither activity. Among the sport-playing students, 70% play team sports, and 30% play individual sports. Additionally, 40% of the art-involved students are focused on visual arts, and 60% on performing arts. If a random sample of 200 students is taken from the university, what is the probability that exactly 84 students play team sports, 36 play individual sports, 48 are involved in performing arts, 24 in visual arts, and 8 students participate in neither sports nor arts?

In a large university, 60% of students play sports, 30% are involved in the arts, and 10% participate in neither activity. Among the sport-playing students, 70% play team sports, and 30% play individual sports. Additionally, 40% of the art-involved students are focused on visual arts, and 60% on performing arts. If a random sample of 200 students is taken from the university, what is the probability that exactly 84 students play team sports, 36 play individual sports, 48 are involved in performing arts, 24 in visual arts, and 8 students participate in neither sports nor arts?

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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