A regional telephone company operates three identical relay stations at differen

Question

A regional telephone company operates three identical relay stations at different locations. During a one-year period, the number of malfunctions reported by each station and their causes are shown below. (a) If a reported malfunction was found to be caused by other human errors, what is the probability it came from station C? (b) If a reported malfunction was found in station A, what is the probability it was not caused by malfunctioning electrical equipment? (c) What is the probability a reported malfunction occurred in station B and was caused by malfunctioning electrical equipment? (d) What is the probability a reported malfunction was caused by either problems with electricity supplied or a computer malfunction?

Explanation / Answer

)probability came from C ; given caused by other errors =5/19

b)probability not caused by malfunctioning electrical equipment; given found in station A =(2+4+7)/18=13/18

c)probability that in station B and caused by malfunctioning electrical equipment =4/43

d)probability that casued by either electricity supplied or a computer malfunction =(4+9)/43=13/43

please revert for any clarification required.,

station A B C total problems with electricity supplied 2 1 1 4 computer malfunction 4 3 2 9 malfunctioning electric equipment 5 4 2 11 caused by other human errors 7 7 5 19 total 18 15 10 43

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