A factory repairs mechanical parts where 80% of all parts received can be classed as easy...
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A factory repairs mechanical parts where 80% of all parts received can be classed as easy to repair and the remainder are difficult; call these events E and D respectively.
Assume that, on average, easy repair jobs take 15 minutes to process whereas difficult repair jobs take 30 minutes to process.
Let T be the random variable representing the repair time and, further- more, assume that repair times (for both easy and difficult jobs) are ex- ponentially distributed.
Derive expressions for the following:
i) Pr(T > t) ;
ii) Pr(E | T > t).
iii) Hence, find the value of t such that Pr(E | T > t) =
0.75.
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