Problem 1168

Find P(B∩E) directly from the table.

  A B C Total
D 0.13 0.02 0.05 0.20
E 0.37 0.28 0.15 0.80
Total 0.50 0.30 0.20 1.00

 

Solution:-

 

If F and G are two events in sample space S, than the union of F and G, denoted by FUG, is define to be FUG = {e ϵS | e ϵ F or e ϵ G}, and the intersection of F and G, denoted by F∩G, is defined to be F∩G = {e ϵS | e ϵ F or e ϵ G}. Furthermore, FUG is also define to be the event F or G, while F∩G is also define to be the event F and G.

The event B∩E is define to be the event B and E.

The value of P(B∩E) can be found where the column containing B and the row containing E intersect.

Find P(B∩E) directly from the table.

P(B∩E) = 0.28

 

 

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