1 answer

1.Let Ai, A2,. . , Ak be collection of sets that partitions the sample space S....

Question:

1.Let Ai, A2,. . , Ak be collection of sets that partitions the sample space S. Which of the following are properties of the partition? B. Ain A2nnAk S. C. The sets A, A are mutually exclusive D. The sets A1, A2,... Ak are independent. E. Only A. and B. F. Only A. and C. G. Only A. and D. H. Only B. and C. I. Only B. and D. J. Only C. and D. K. Only A., B., and C. L. Only A., B., and D M. Only A., C., and D. N. Only B., C., and D. O. All of the above.
1.Let Ai, A2,. . , Ak be collection of sets that partitions the sample space S. Which of the following are properties of the partition? B. Ain A2nnAk S. C. The sets A, A are mutually exclusive D. The sets A1, A2,... Ak are independent. E. Only A. and B. F. Only A. and C. G. Only A. and D. H. Only B. and C. I. Only B. and D. J. Only C. and D. K. Only A., B., and C. L. Only A., B., and D M. Only A., C., and D. N. Only B., C., and D. O. All of the above.

Answers

By definition A collection of sets forms a partition of the sample space if the sets (i) are mutually exclusive and (ii) exhaust the entire sample space.

Then only A and C are the properties of a partition. The correct option is F.

.

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