Score: 0 of 1 pt 17 of 18 (16 complete) Quest 4.6.169 Decide whether or not the

Question

Score: 0 of 1 pt 17 of 18 (16 complete) Quest 4.6.169 Decide whether or not the two events in question are independent or whether it is not possible to tel P(C)-0.4 and P(DIC)-04 Choose the cormect answer below O A. The two events are not independent because P(DIC) P(D) O B. The two events are independent because P(DIC) P(D) C. O D. O E. The two events are independent because P(C & D)-P(C)-P(D). The two events are not independent because PIC & D) P(C) PID) It is not possible to tell if the two events are independent.

Explanation / Answer

Correct answer: Option (A) The two events are note independent P(D/C) not = P(D)

since If D and C are independent then P(D and C) = P(D) P(C)

P(D/C) = P(D and C) / P(C)
= P(D) P(C) / P(C)
= P(D)
But given P(D/C) = P(C)

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