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headhoncho

Complete the two-way frequency table below, which shows the distribution of blood types for students in their first year at a local college.


                       O     A       B     AB         Total
Male (M)    210    174    74      42  
Female (F)315      261    111   63  
Total


What is P(A|M), and are the events "the student is male" and "the student has blood type A" independent events?


A)start fraction 2 over 5 end fraction; they are independent because P(A ∩ M) ≠ P(M) ⋅ P(A)
B)start fraction 87 over 625 end fraction; they are dependent because P(A ∩ M) ≠ P(M) ⋅ P(A)
C)start fraction 87 over 250 end fraction; they are independent because P(A ∩ M) = P(M) ⋅ P(A)
D)start fraction 1 over 4 end fraction; they are dependent because P(A ∩ M) = P(M) ⋅ P(A)

 Apr 4, 2018
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                       O     A       B     AB         Total
Male (M)    210    174      74   42          500
Female (F) 315    261    111   63          750
Total           525    435   185   105       1250

 

P (A / M)   =  "probability that the student has blood type A  given a male"  =   174 / 500   =  87 / 250

P(A ∩ M)  = P(A)  * P(M)  = 

174/1250     =      (435/1250) *  ( 500/ 1250 ) 

87/625   =  87/625

 

"C"  must be correct.......

 

 

 

cool cool cool

 Apr 4, 2018

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