Assume you have applied to two different universities (let's refer to them as Universities A and B) for your graduate work. In the past, 10% of students (with similar credentials as yours) who applied to University A were accepted, while University B accepted 50% of the applicants. Assume events are independent of each other. Are the events mutually exclusive?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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Assume you have applied to two different universities (let's refer to them as Universities A and B) for your graduate work. In the past, 10% of students (with similar credentials as yours) who applied to University A were accepted, while University B accepted 50% of the applicants. Assume events are independent of each other.

Are the events mutually exclusive? 

 

  1. Which events are not independent?

    i.    A={Having a car} and B={having a name Alex}

    ii.   A={being physically active} and B={being healthy}

    iii.  A={having college degree} and B={liking red color}

    iv.  A={being a smoker} and B={having a cancer}

     

      a.

    (ii) and (iv).

      b.

    (i) and (iv).

      c.

    (ii) and (iii).

      d.

    (i) and (iii).

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