A population of GMU Comp Sci students is segregated by primary area of study and further segregated by preference for Java vs. C++: • 3/8 are taking Intro. Courses, 40% of them prefer Java • 1/8 are taking Info. Security, 56% of them prefer Java • 1/4 are taking Info. Systems, 48% of them prefer Java • 1/4 are taking Software Engineering, 52% of them prefer Java Note: 3/8+1/8+1/4+1/4 = 1. (a) What is the probability that a Comp Sci student chosen at random prefers Java? (b) If a Comp Sci student chosen at random prefers Java, what is the probability that he is taking an Intro Course?

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(13) A population of GMU Comp Sci students is segregated by primary
area of study and further segregated by preference for Java vs. C++:
• 3/8 are taking Intro. Courses, 40% of them prefer Java
• 1/8 are taking Info. Security, 56% of them prefer Java
• 1/4 are taking Info. Systems, 48% of them prefer Java
• 1/4 are taking Software Engineering, 52% of them prefer Java
Note: 3/8+1/8+1/4+1/4 = 1.
(a) What is the probability that a Comp Sci student chosen at random
prefers Java?
(b) If a Comp Sci student chosen at random prefers Java, what is the
probability that he is taking an Intro Course?

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