Question

P(A)=0.35 P(B)=0.65 P(A or B)=0.89 1. P(not A) 2. P(A and B) 3. determine if the...

P(A)=0.35
P(B)=0.65
P(A or B)=0.89
1. P(not A)
2. P(A and B)
3. determine if the events A and B are independent.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1
  1. P(not A) = P(Ac) = 1 - P(A) = 1-0.35 = 0.65
  2. P(A and B) = P(AB) = P(A) + P(B) - P(AB) = P(A) + P(B) - P(A or B) = 0.35 + 0.65 - 0.89 = 0.11
  3. If A and B are independent then P(AB) = P(A).P(B)

Here, P(AB) = 0.11 and P(A).P(B) = 0.350.65 = 0.2275

so, P(AB) P(A).P(B)

Hence, the events A and B are not independent.

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