Number of times  students visited  tutoring  
one or fewer times  2 or 3 times  4 or more times  total  
full time students  12  25  6  45 
part time students  2  5  6  13 
Total  14  30  14  58 

places. Show your work. (d) Are number of times a student visited tutoring and the student status (full or part time) independent. Explain your answer and show all relevant work. 
Solution(a)
P(Student visited the tutoring four pr more times) = 14/58 =
0.241
Solution(b)
P(Student is full time) = 45/58 = 0.776
Solution(c)
P(Student visited the tutoring four or more time given that student
is full time) = P(Student visited the tutoring four or more time
given that student is full time)/P(Full time) = (6/58)/(45/58) =
6/45 = 0.133
Solution(d)
No, the number of times a student visited tutoring and the student
status is not independent because P(Student visiting tutoring and
student status) is not equal to zero. So we can say that both
events are not independent.
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