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6 engineering students want to take a P/NP of a course. The group includes 4 civil engineering students and 2 mechanical engineering students. Once the student is picked, they are not picked again. Let X be the number of turns until and including the first time a mechanical engineering student is chosen. What is the probability of X=2? Clearly explain your reasoning below. You may represent the intersection of 2 events A and B by AB, so you write (A intersect B) as P(AB).

6 engineering students want to take a P/NP of a course. The group includes 4 civil engineering students and 2 mechanical engineering students. Once the student is picked, they are not picked again. Let X be the number of turns until and including the first time a mechanical engineering student is chosen. What is the probability of X=2? Clearly explain your reasoning below. You may represent the intersection of 2 events A and B by AB, so you write (A intersect B) as P(AB).

A First Course in Probability (10th Edition)
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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6 engineering students want to take a P/NP of a course. The group includes 4 civil engineering students and 2 mechanical engineering students. Once the student is picked, they are not picked again. Let X be the number of turns until and including the first time a mechanical engineering student is chosen. What is the probability of X=2? Clearly explain your reasoning below. You may represent the intersection of 2 events A and B by AB, so you write (A intersect B) as P(AB).

Expert Solution
Step 1

Total students = 6

Students with major in Civil = 4

Students with major in  mechanical = 2

Also, Once the student is picked, they are not picked again

 

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