Respuesta :
The probability should be 36.67%Â if the number of people in tenth grade who replied 'opposed' is 11 and the principal is only selecting from grade 10.
Answer:
The probability that the student is opposed to extending the school day is 0.3666 or 36.67% approx.
Step-by-step explanation:
Arranging the table properly and adding a column of total students.
             In favor    Opposed    Undecided    Total students
Grade 9 Â Â Â Â Â Â Â Â 6 Â Â Â Â Â Â Â Â 4 Â Â Â Â Â Â Â Â Â Â 8 Â Â Â Â Â Â Â Â Â Â Â 18
Grade 10 Â Â Â Â Â Â Â 10 Â Â Â Â Â Â Â 11 Â Â Â Â Â Â Â Â Â 9 Â Â Â Â Â Â Â Â Â Â Â 30
Grade 11 Â Â Â Â Â Â Â Â 12 Â Â Â Â Â Â Â 15 Â Â Â Â Â Â Â Â Â 11 Â Â Â Â Â Â Â Â Â Â Â 38
Grade 12 Â Â Â Â Â Â Â Â 15 Â Â Â Â Â Â Â 6 Â Â Â Â Â Â Â Â Â 14 Â Â Â Â Â Â Â Â Â Â Â 35
If the principal randomly selects a student in grade 10 from this survey, this means we will only consider grade 10 students.
The probability that the student is opposed to extending the school day is = [tex]\frac{number of opposed students}{total number of students}[/tex]
There are 11 students who are opposed and total students in grade 10 are 30.
So, probability is : [tex]\frac{11}{30}= 0.3666[/tex] or 36.67% approx.