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Natasha2012 [34]
3 years ago
6

() = 0.50, () = 0.70, ( ∪ ) = 0.85 Are the events, and , independent in this situation? You must provide reasoning for your answ

er.
Mathematics
1 answer:
crimeas [40]3 years ago
5 0

Answer:

Independent events

Step-by-step explanation:

Given

P(A) = 0.50

P(B)= 0.70

P(A\ u\ B) = 0.85

Required

Determine the relationship between the events

To do this, we simply calculate P(A n B) using:

P(A\ n\ B) = P(A) * P(B)

and

P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)

So, we have:

P(A\ n\ B) = P(A) * P(B)

P(A\ n\ B) = 0.50 * 0.70

P(A\ n\ B) = 0.35

and

P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)

P(A\ n\ B) = 0.50 + 0.70 - 0.85

P(A\ n\ B) = 0.35

Since: P(A\ n\ B) = P(A) * P(B) = 0.35

Then: the events are independent

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