Question

3. The completion of a construction job may be delayed because of a strike. The probabilities are 0.60 that there will be a strike, 0.85 that the construction job will be completed on time if there is no strike, and 0.35 that the construction will be completed on time if there is a strike. What is the probability that the construction job will be completed on time

Answer 1

Answer:

0.55 = 55% probability that the construction job will be completed on time

Step-by-step explanation:

We have these following probabilities:

0.6 probability there is a strike. In this case, 0.35 probability that the construction will be completed on time.

1 - 0.6 = 0.4 probability that is not a strike. In this case, 0.85 probability that the construction will be completed on time.

What is the probability that the construction job will be completed on time?

$p = 0.6*0.35 + 0.4*0.85 = 0.55$

0.55 = 55% probability that the construction job will be completed on time