The accompanying table shows the number of students who earned an​ A, B,​ C, and D grade in a business statistics class along with their year in their program. Complete parts a through g. Grade Sophomore Junior   A 12 32   B 32 38   C 19 18   D 11 4 a. What percentage of students in this class are​ juniors? The percentage is-----------​%. ​(Round to one decimal place as​ needed.)   b. What percentage of students in this class earned a B​ grade? The percentage is----------%. ​(Round to one decimal place as​ needed.)   c. What percentage of students in this class were sophomores and earned a B​ grade? The percentage is----------​%. ​(Round to one decimal place as​ needed.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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The accompanying table shows the number of students who earned an​ A, B,​ C, and D grade in a business statistics class along with their year in their program. Complete parts a through g.
Grade
Sophomore
Junior
 
A
12
32
 
B
32
38
 
C
19
18
 
D
11
4
a. What percentage of students in this class are​ juniors?
The percentage is-----------​%.
​(Round to one decimal place as​ needed.)
 
b. What percentage of students in this class earned a B​ grade?
The percentage is----------%.
​(Round to one decimal place as​ needed.)
 
c. What percentage of students in this class were sophomores and earned a B​ grade?
The percentage is----------​%.
​(Round to one decimal place as​ needed.)
 
d. What percentage of students in this class were juniors or earned an A​ grade?
The percentage is---------%.
​(Round to one decimal place as​ needed.)
 
e. What percentage of students in this class earned a C​ grade, given they were​ sophomores?
The percentage is---------%.
​(Round to one decimal place as​ needed.)
 
f. What percentage of students in this class were​ sophomores, given they earned a C​ grade?
The percentage is-------%.
​(Round to one decimal place as​ needed.)
 
g. Do course grade and year in the program appear to be independent or​ dependent? Define Event A as earning an A grade and Event B as a student in his or her sophomore year.
Since ​P(A|B)=------ is not equal to P(A)=-------​, the events are not
independent.​ Therefore, course grade and year in the program appear to be dependent.
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