Question

2. At an electronics plant, it is known from past experience that the probability is 0.84 that a new worker who has attended the company's training program will meet the production quota and that the corresponding probability is 0.49 for a new worker who has not attended the company's training program. If 70% of all new workers attend the training program, what is the probability that a new worker will meet the production quota?​

Answer 1

Answer:

A being the worker having attended the program

P(B|A) = 1- .84 = .16

P(B|A')= .1- .45 = .55

P(A)= .7

P(B)= P(B|A)*P(A) + P(B|A')*P(A')

P(B)= .16*.7 + .55*.3

.277 will not meet quota