From records, 18%, 22%, 26% and 34% of documents are prepared by Ada, Betty, Cathy and Dorothy respectively and their corresponding probability of missing the submission deadline are 0.02, 0.08, 0.03 and 0.05 respectively. (i)  Suppose a document is selected randomly and it missed the deadline. Calculate the probability that this document was prepared by Ada. (ii)  Suppose eight documents are selected randomly and all of them missed the deadline. Calculate the probability that two of them were prepared by Ada.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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There are four secretaries in a company. From records, 18%, 22%, 26% and 34% of documents are prepared by Ada, Betty, Cathy and Dorothy respectively and their corresponding probability of missing the submission deadline are 0.02, 0.08, 0.03 and 0.05 respectively.

(i)  Suppose a document is selected randomly and it missed the deadline. Calculate the probability that this document was prepared by Ada.

(ii)  Suppose eight documents are selected randomly and all of them missed the deadline. Calculate the probability that two of them were prepared by Ada.

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