The completion of a construction job at Town Z may be delayed because of a strike. The probability that there will be a strike in that construction area is 0.25. The probability that the construction job will not be completed on time if there is a strike is 0.6 and the probability that the construction job will be completed on time if there is no strike is 0.82. a) Draw a tree diagram to describe for the above situation. b) Find the probability that the construction job will not be completed on time. c) If the construction job can be completed on time, find the probability that there will be no strike.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The completion of a construction job at Town Z may be delayed because of a strike. The
probability that there will be a strike in that construction area is 0.25. The probability that
the construction job will not be completed on time if there is a strike is 0.6 and the
probability that the construction job will be completed on time if there is no strike is 0.82.
a) Draw a tree diagram to describe for the above situation.
b) Find the probability that the construction job will not be completed on time.
c)
If the construction job can be completed on time, find the probability that there will be
no strike.
Transcribed Image Text:The completion of a construction job at Town Z may be delayed because of a strike. The probability that there will be a strike in that construction area is 0.25. The probability that the construction job will not be completed on time if there is a strike is 0.6 and the probability that the construction job will be completed on time if there is no strike is 0.82. a) Draw a tree diagram to describe for the above situation. b) Find the probability that the construction job will not be completed on time. c) If the construction job can be completed on time, find the probability that there will be no strike.
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