A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question

Hello, I would like to check my work. Can you also provide how to do this in excel?

Thank you!

The following table represents undergraduate students at a local university. One student is chosen at random.

  Freshman Sophomore Junior Senior Total
Live On Campus 3067 4995 3893 3513 15468
Live Off Campus 3561 4589 4469 1777 14396
Total 6628 9584 8362 5290 29864

 

    1. Find the probability that the student lives off campus or is a junior. 
    2. Find the probability that the student lives on campus and is a senior. 
    3. Find the probability that the student is a freshman given that they live on campus. 
    4. Are the events Freshman and Live on Campus mutually exclusive (or disjoint)?
      • Yes
      • No

      Why?
      • conditional probability P(Freshman | Live On Campus) is P(Freshman)
      • P(Freshman and Live On Campus) is NOT 0
      • P(Freshman and Live On Campus) is 0
      • there are freshman that lives on campus
      • P(Freshman and Live On Campus) is NOT P(Freshman)*P(Live On Campus)
      • P(Freshman and Live On Campus) is NOT P(Freshman)*P(Live On Campus)
    5. Are the events Freshman and Live on Campus independent according to probability?
      • Yes
      • No

      Why?
      • conditional probability P(Freshman | Live On Campus) is P(Freshman)
      • P(Freshman and Live On Campus) is NOT 0
      • P(Freshman and Live On Campus) is 0
      • there are freshman that lives on campus
      • P(Freshman and Live On Campus) is NOT P(Freshman)*P(Live On Campus)
      • P(Freshman and Live On Campus) is P(Freshman)*P(Live On Campus)
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Step 1: 1. Probability that the student lives off campus or is a junior.
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Step 2: 2. Probability that the student lives on campus and is a senior.
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Step 3: 3. Probability that the student is a freshman given that they live on campus.
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Step 4: Conceptual Questions
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