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 the student is male and a toddler                                                                              the student is female or an infant                                                                                   iii. the student is an infant, given that they are female.

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

 

  1. a) A student is selected at random. Find the probability that
  2. the student is male and a toddler                                                                             
  3. the student is female or an infant                                                                              

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

  1. 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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