The table shown gives the languages studied by 400 students at a small college:   Freshmen Sophomores Juniors Seniors Total Spanish 50 35 33 29 147 French 40 40 39 37 156 Chinese 20 25 28 24 97 Total 110 100 100 90 400   Find each of the following, giving your answer as a fraction. a.  What is the probability that a randomly selected student is a freshman in Spanish class?  b.  What is the probability that a randomly selected student is in a French class?  c.  What is the probability that a randomly selected sophomore is taking French?  d.  A randomly selected student is known to be taking Spanish.  What is the probability that the student is a freshman?  e.  What is the probability that a randomly selected student who is taking Chinese is also a senior?

A First Course in Probability (10th Edition)
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The table shown gives the languages studied by 400 students at a small college:

  Freshmen Sophomores Juniors Seniors Total
Spanish 50 35 33 29 147
French 40 40 39 37 156
Chinese 20 25 28 24 97
Total 110 100 100 90 400

 

Find each of the following, giving your answer as a fraction.

a.  What is the probability that a randomly selected student is a freshman in Spanish class? 

b.  What is the probability that a randomly selected student is in a French class? 

c.  What is the probability that a randomly selected sophomore is taking French? 

d.  A randomly selected student is known to be taking Spanish.  What is the probability that the student is a freshman? 

e.  What is the probability that a randomly selected student who is taking Chinese is also a senior? 

 

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