Question 1
The following table summarizes the number of students at Kiddies Headstart Preschool, categorized by the students’ gender and whether they belong to the infant or toddler section

Infant 
Toddler 
Total 
Male 
12 
28 

Female 
34 
26 

Total 


100 
iii. the student is an infant, given that they are female.
c)Are the events ‘Infant’ and ‘Female’ Independent? Justify your response.
Question 1_
The following table summarizes the number of students at Kiddies Head start Preschool, categorized by the students’ gender and whether they belong to the infant or toddler section
Infant 
Toddler 
Total 

Male 
12 
28 

Female 
34 
26 

Total 
100 
i) the student is male and a toddler
ii) the student is female or an infant
iii. the student is an infant, given that they are female.
The following table summarizes the number of students at Kiddies Headstart Preschool, categorized by the students’ gender and whether they belong to the infant or toddler section

Infant 
Toddler 
Total 
Male 
12 
28 

Female 
34 
26 

Total 


100 
a) A student is selected at random. Find the probability that
i. the student is male and a toddler
ii. the student is female or an infant
iii. the student is an infant, given that they are female.
b) Are the events ‘Infant’ and ‘Female’ Mutually Exclusive? Justify your response
c) Are the events ‘Infant’ and ‘Female’ Independent? Justify your response
Question 1
The following table summarizes the number of students at Kiddies Head start Preschool, categorized by the students’ gender and whether they belong to the infant or toddler section

Infant 
Toddler 
Total 
Male 
12 
28 

Female 
34 
26 

Total 


100 
iii. the student is an infant, given that they are female.
Treatment

Number of Observations

Sample Mean

Sum of Squares (SS)


Private prep class  40  610  97,500.00 
High school prep class  40  600  101,400.00 
No prep class  40  590  111,150.00 
Source

Sum of Squares (SS)

df

Mean Square (MS)


Between treatments  
Within treatments 
Question 1
The following table summarizes the number of students at Kiddies Head start Preschool, categorized by the students’ gender and whether they belong to the infant or toddler section

Infant 
Toddler 
Total 
Male 
12 
28 

Female 
34 
26 

Total 


100 
iii. the student is an infant, given that they are female.
Answers to part b and c please
The following table summarizes the number of students at a
Preschool, categorized by the students’ gender and whether they belong to the infant or toddler section
Infant  Toddler  Total  
Male  12  28  
Female  34  26  
Total  100 
a) A student is selected at random. Find the probability that
i. the student is male and a toddler
ii. the student is female or an infant
iii. the student is an infant, given that they are female.
b) Are the events ‘Infant’ and ‘Female’ Mutually Exclusive? Justify your response
c) Are the events ‘Infant’ and ‘Female’ Independent? Justify your response
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