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Complete the two-way frequency table below, which shows the relationship between student gender and how these students travel to school.
 

 

                 Bus (B)  Car C)  Other    (O)Total

Male (M)     350       200        75

Female (F)  300      175        100 

Total    



What is the P(M|O), and are the events "the student is male" and "the student travels by other" independent events? 

 

A.) they are not independent because P(M ∩ O) ≠ P(M) ⋅ P(O) ,

B.) they are not independent because P(M ∩ O) ≠ P(M) ⋅ P(O) ,

C.) they are independent because P(M ∩ O) = P(M) ⋅ P(O) ,

D.) they are not independent because P(M ∩ O) = P(M) ⋅ P(O)

PrincesssTeauna21  Nov 29, 2017
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P ( M  ∩ O  )   =  75  / [ 350 + 300 + 200 + 175 + 75 + 100  ]  = 75 / 1200  = 1/16  = .0625

 

P (M) * P (O)  = [350 + 200 + 75] / 1200  *    [75 + 100] / 1200  = 

 

625 / 1200  *  175 / 1200  =

 

25/48  * 7/48    =

 

175  / 2304  ≈  .076

 

Not Independent

 

cool cool cool

CPhill  Nov 29, 2017

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