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 the causes are shown below
Stations: A B C___
Problems with electricity supplied 2 1 1
Computer malfunction 4 3 2
Malfunctioning electrical equipment 5 4 2
Caused by other human errors 7 7 5
a. What is the probability of a Computer Malfunction?
b. What is the probability that station A will experience malfunction with electrical equipment?
d. Given we have a problem at station B, What is the probability that it is a problem other than a computer malfunction?

Explanation / Answer

a. Probability is (4+3+2)/(2+1+1+4+3+2+5+4+2+7+7+5)=9/43 b. Probability=5/43 d. P(problem other than a computer malfunction | Station B)= P(Problems with electricity supplied | Station B ) +P(Malfunctioning electrical equipment | station B ) +P(Caused by other human errors | station B)= P(Station B has Problems with electricity supplied)/ P(Station B )+P(Station B has Malfunctioning electrical equipment)/ P(station B ) +P(Station B has problem Caused by other human errors)/P(station B)= (1/43)/((1+3+4+7)/43)+(4/43)/((1+3+4+7)/43)+(7/43)/((1+3+4+7)/43)=12/15=4/5

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