The following table contains data on race of mother and sex of their children. M
ID: 3181265 • Letter: T
Question
The following table contains data on race of mother and sex of their children.
Male
Female
Total
Non-hispanic white
272
251
523
Non-hispanic black
87
81
168
Hispanic
44
38
82
Other
15
12
27
Total
418
382
800
Let A denote the event that a child is a male.
Let B denote the event that a mother is hispanic.
What is Pr(A)?
What is Pr(B)?
What is the probability that a mother is hispanic and a child is male, e.g. Pr(A and B)?
What is the probability that a mother is hispanic or a child is male, e.g. Pr(A or B)?
The following table contains data on race of mother and sex of their children.
Male
Female
Total
Non-hispanic white
272
251
523
Non-hispanic black
87
81
168
Hispanic
44
38
82
Other
15
12
27
Total
418
382
800
Let A denote the event that a mother is non-hispanic white.
Let B denote the event that a child is female.
What is the Pr(A|B)?
What is the Pr(B|A)?
Male
Female
Total
Non-hispanic white
272
251
523
Non-hispanic black
87
81
168
Hispanic
44
38
82
Other
15
12
27
Total
418
382
800
Explanation / Answer
question 1 :
pr(A)=418/800
Pr(B)=82/800
question2 :
pr(A|B)=251/523
pr(B|A)=251/382
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