SOLUTION: In a factory it is known from past experience that the probability is 0.75 that a new worker who has attended the company training program will meet the production quota, and the

Question 1097610: In a factory it is known from past experience that the probability is 0.75 that a new worker
who has attended the company training program will meet the production quota, and the
corresponding probability for a new worker who has not attended the company training
program is 0.50. If 60% of the new workers attend the training program,
3.1 What is the probability that a new worker will meet the production quota? [3]
3.2 What is the probability that a new worker, who meets the production quota, attended
the company�s training program? [3]
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
=======Attend=====Not===totals
Meets----45--------20----65
doesn't--15--------20----35
totals---60--------40---100
I used 100 workers, of whom 60 attended and of those 75% met production quota and 25% did not. That is the first column. The 2nd column does it with 50%, and the sums add to 100
For 1, the probability of meeting is 0.65
For 2, the worker who meets (65) attended (45) is 45/65=9/13=0.69
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