In a certain company, there are three secretaries responsible for typing the mail of the manager. When

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In a certain company, there are three secretaries responsible for typing the mail of the manager. When she types a letter, Secretary A has a probability of 0.04 for making at least one misprint, while this probability for Secretary B is 0.06 and for Secretary C is 0.02. The probability that a letter is typed either by Secretary A or Secretary B is the same, while Secretary C types three times more letters than any of the other two secretaries.

This morning, the manager has left a hand-written letter on the secretaries’ box and when he returned, he found that there was a misprint on it.

(i) What is the probability that the letter was typed by Secretary A?

(ii) What would this probability be if the manager knew that Secretary C is on leave this week?

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Introduction To Probability Volume 2

ISBN: 9781118123331

1st Edition

Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis

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