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The graph in Figure 3.11displayed concerning their approval of Mayor Ford鈥檚 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 40means.

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

d. Describe in words what the entry 30means.

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 44years old?

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

Short Answer

Expert verified

a. The three events are:

Individual is from age group 18-34

Individual is Male

Individual approves of Mayor Ford.

b. Entry 40means that total 0.4percent of individuals approves Mayor ford.

c. 0.60percent of individuals disapprove mayor ford.

d. total 0.30percent of age group 18-34approves mayor ford.

e. out of males and females, total 0.44percent are males.

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

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

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

i. P(percentmorethan44years)=0.7895

j.P(Approve|Age<35)=0.30

Step by step solution

01

Content Introduction

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.

02

Explanation (Part a)

The three events are:

  1. Individual is from age group 18-34
  2. Individual is Male
  3. Individual approves of Mayor Ford
03

Explanation (Part b)

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

04

Explanation (Part c)

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

05

Explanation (Part d)

Entry 30means total0.30 percent of age group 18-34approves mayor ford.

06

Explanation (Part e)

Out of males and females, total0.44 percent are males.

07

Explanation (Part f)

Out of total females, 0.63disapproves mayor ford.

08

Explanation(Part g)

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

09

Explanation (Part h)

There are 0.40percent of individuals are male who approve mayor ford .ThereforeP(Approve|Male)=0.44

10

Explanation (part i)

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

P(percentmorethan44yearsold)=226+268+3311045P(percentmorethan44yearsold)=0.789

11

Explanation (Part j)

there is total 0.30percent of those individuals are present whose age is less than35years and approve mayor ford. Therefore,P(Approve|Age<35)=0.30

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