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Maths Help (1 Viewer)

jimmysmith560

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Using the addition rule:

P(X ∪ Y) = P(X) + P(Y) - P(X ∩ Y)
0.594 = 0.3 + 0.42 - P(X ∩ Y)
P(X ∩ Y) = 0.72 - 0.594
= 0.126

Using the product rule for independent events:

P(X ∩ Y) = P(X) P(Y)
= 0.3 x 0.42
= 0.126 (as above)

∴ X and Y are independent.

I hope this helps! :D
 

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