The graph in Figure $3.11$displayed concerning their approval of Mayor Ford’s actions in office. The total number in the sample of all the age groups is $1.045$.

a. Define three events in the graph.

b. Describe in words what the entry $40$means.

c. Describe in words the complement of the entry in question $2$.

d. Describe in words what the entry $30$means.

e. Out of the males and females, what percent are males?

f. Out of the females, what percent disapprove of Mayor Ford?

g. Out of all the age groups, what percent approve of Mayor Ford?

h. Find P(Approve| Male).

i. Out of the age groups, what percent are more than $44$years old?

j. Find P(Approve| Age < $35$).

A set of outcomes of a random experiment can be defined as an event in probability. All possible outcomes of an experiment are represented by the sample space.

The three events are:

1. Individual is from age group $18-34$
2. Individual is Male
3. Individual approves of Mayor Ford

Entry $40$means that total $0.40$percent of individuals approves Mayor ford.

Compliment of $40$means that total $0.6$percent of individuals disapprove mayor ford.

Entry $30$means total$0.30$ percent of age group $18-34$approves mayor ford.

Out of males and females, total$0.44$ percent are males.

Out of total females, $0.63$disapproves mayor ford.

Out of all age group , $0.40$percent approves mayor ford.

There are $0.40$percent of individuals are male who approve mayor ford .Therefore$P\left(Approve\right|Male)=0.44$

Out of the age group the total percent that are more than $44$years old is calculated as follow:

$$\begin{gathered} P(percentmorethan44yearsold)=\frac{226+268+331}{1045} \\ P(percentmorethan44yearsold)=0.789 \end{gathered}$$

there is total $0.30$percent of those individuals are present whose age is less than$35$years and approve mayor ford. Therefore,$P\left(Approve\right|Age<35)=0.30$