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 PROBABILITY

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Each person in a group of college students was identified by graduating year and asked when he or she preferred taking classes: morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred morning classes given he or she is a junior. Round to the nearest thousandth. 

Survey of Class Time Morning Afternoon Evening
Freshman 20 5 15
Sophomore 14 10 15
Junior 16 2 8
Senior 17 7 17

 

 

A. 0.654

 

B. 0.083

 

C. 0.421

 

D. 0.615

 Apr 6, 2016

Best Answer 

 #1
avatar+33657 
+15

There are 26 juniors of whom 16 preferred morning classes, so the probability is 16/26 = 0.615

.

 Apr 6, 2016

5+0 Answers

 #1
avatar+33657 
+15
Best Answer

There are 26 juniors of whom 16 preferred morning classes, so the probability is 16/26 = 0.615

.

Alan Apr 6, 2016
 #3
avatar+188 
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Thank you very much, Alan. smiley

Carpe♥Diem  Apr 6, 2016
 #2
avatar+561 
+15

It is given that they are a junior, so we will only look at the junior row.

\(\frac{16}{16+2+8} \)

\(=0.615\)

 Apr 6, 2016
 #4
avatar+188 
0

Thank you very much, Will. smiley

Carpe♥Diem  Apr 6, 2016
 #5
avatar
+5

Since the juniors preferences were as follows:morning=16, Afternoon=2 and

Evening=8, then we have:

16/[16+2+8]=16/26=.615 x100=61.5% probability that a junior preferred morning calsses.

 Apr 6, 2016

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