17. You millennials sure seem to enjoy “chillaxing" with the groovy tunes of your favorite bands One Direction and Nickelback. (I apologize to the Gen Z students reading this, but I simply have no idea what you guys listen to these days. Is Darude still a thing?) So to help us cross the generational gap that separates us, here is a probability problem involving your beloved crooners. In one third-year specialized course, 2/3 of students are science majors, and the other 1/3 are engineering majors. 75% of science majors prefer the melodic harmonies of One Direction, and only 25% of them go for the gutter belchings of Nickelback. Engineering majors tend to be made of sterner stuff, as seen in how 25% of them prefer One Direction and 75% prefer Nickelback. If the professor sees an unknown student in this course listening to Nickelback, what is the probability that this student is an engineering major?
17. You millennials sure seem to enjoy “chillaxing" with the groovy tunes of your favorite bands One Direction and Nickelback. (I apologize to the Gen Z students reading this, but I simply have no idea what you guys listen to these days. Is Darude still a thing?) So to help us cross the generational gap that separates us, here is a probability problem involving your beloved crooners. In one third-year specialized course, 2/3 of students are science majors, and the other 1/3 are engineering majors. 75% of science majors prefer the melodic harmonies of One Direction, and only 25% of them go for the gutter belchings of Nickelback. Engineering majors tend to be made of sterner stuff, as seen in how 25% of them prefer One Direction and 75% prefer Nickelback. If the professor sees an unknown student in this course listening to Nickelback, what is the probability that this student is an engineering major?
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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Transcribed Image Text:17. You millennials sure seem to enjoy “chillaxing" with the groovy tunes of your favorite bands One
Direction and Nickelback. (I apologize to the Gen Z students reading this, but I simply have no idea what
you guys listen to these days. Is Darude still a thing?) So to help us cross the generational gap that separates
us, here is a probability problem involving your beloved crooners. In one third-year specialized course, 2/3
of students are science majors, and the other 1/3 are engineering majors. 75% of science majors prefer the
melodic harmonies of One Direction, and only 25% of them go for the gutter belchings of Nickelback.
Engineering majors tend to be made of sterner stuff, as seen in how 25% of them prefer One Direction and
75% prefer Nickelback. If the professor sees an unknown student in this course listening to Nickelback,
what is the probability that this student is an engineering major?
(а) 1/3
(b) 2/5
(c) 1/2
(d) 3/5
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