Question

the table above shows the votes of the school community regarding whether the school year should be moved up two weeks. a person was chosen randomly and asked to elaborate their thoughts. find the following probabilities. a. p(person is a teacher) b. p(agreed) c. p(not a teacher)

Explanation:

Step1: Calculate total number of people

First, find the total number of people surveyed. Add all the values in the table: \(8 + 12+3 + 40=63\).

Step2: Calculate \(P(\text{person is a teacher})\)

The number of teachers is \(8 + 3=11\). So \(P(\text{person is a teacher})=\frac{11}{63}\).

Step3: Calculate \(P(\text{agreed})\)

The number of people who agreed is \(8 + 12 = 20\). So \(P(\text{agreed})=\frac{20}{63}\).

Step4: Calculate \(P(\text{not a teacher})\)

The number of non - teachers (students) is \(12+40 = 52\). So \(P(\text{not a teacher})=\frac{52}{63}\).

Answer:

a. \(P(\text{person is a teacher})=\frac{11}{63}\)
b. \(P(\text{agreed})=\frac{20}{63}\)
c. \(P(\text{not a teacher})=\frac{52}{63}\)