Hey All, At an electronics plant, it is know from past experiences that theproba

Question

Hey All,

At an electronics plant, it is know from past experiences that theprobability is 0.86 that a new worker who has attended thecompany's training program will meet his production quota, and thatthe corresponding probability is 0.35 for a new worker who has notattended the company's training program. if 80% of all new workersattend the training program, what is the probability that :

- a new worker will not meet his production quota;
- a new worker who has not meet his production quota will not haveattended the company's training program

Explanation / Answer

P[new worker meets production quota] = P[trained worker meets quota] + P[untrained worker meetsquota] = 0.86*0.8 + 0.35*0.2 = 0.758 ( 75.8%) Probability = 0.688 / 0.758 = 0.908 ( 90.8 %)

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