Question

Given the following information about events A, B, and C, determine which pairs of events, if...

Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs are mutually exclusive.

P(A)=0.73

P(B)=0.08

P(C)=0.17

P(B|A)=0.73

P(C|B)=0.17

P(A|C)=0.17

Select all that apply:

  • A and C are mutually exclusive

  • A and B are independent

  • B and C are mutually exclusive

  • A and C are independent

  • A and B are mutually exclusive

  • B and C are independent

Math   Statistics-And-Probability   
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Answer #1

Answer:

Given that:

Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs are mutually exclusive.

P(A)=0.73, P(B)=0.08, P(C)=0.17

P(B|A)=0.73, P(C|B)=0.17, P(A|C)=0.17

S0,

Which implies A and B are mutually exclusive

Similarly

Which implies B and C are also mutually exclusive

Again

So,A and C are independent

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