If all the widgets from the three machines are mixed together, then the probability that a good widget will be drawn at random is 0.78 or 78%.
Probability is defined as how likely an event is to occur, or how likely it is that a proposition is true.
If machine 1 makes 3000/hour and 80% are good, then the chances of it being good is 80% also or, 2400 out of 3000.
80% of 3000 is 2400
If machine 2 makes 4000/hour and 90% are good, then the chances of it being good is 90% also or, 3600 out of 4000.
90% of 4000 is 3600
If machine 3 makes 3000/hour and 60% are good, then the chances of it being good is 60% also or, 1800 out of 3000.
60% of 3000 is 1800
Mixing together the widgets from the three machines, use the formula to calculate the probability of an event which is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Probability(good) = (2400 + 3600 + 1800)/(3000 + 4000 + 3000)
Probability(good) = 7800/10000
Probability(good) = 0.78 or 78%
Hence, the probability that a good widget drawn at random is 0.78 or 78%.
To learn more about probability: https://brainly.com/question/25870256.
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