A Toy manufacturer has noticed that the number of faulty Toys detected in a production depends on the supervisor on duty and is detected according to a Poisson Process. There are only 2 supervisors: A and B, in the firm. The average number of faulty Toys is 3 per day when A is on duty, while the average number of faulty Toys is 4 per day when B is on duty. quality of one day's production does not have an effect on the next day. B works 4 out of 5 days, while A works 3 out of 5 days.   a) What is the probability that no faulty Toys will be produced tomorrow, if B is on duty? b) What is the probability that no faulty Toys will be produced in the next two days? c)  Suppose at least one faulty Toy was produced yesterday, what is the probability that A was on duty?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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A Toy manufacturer has noticed that the number of faulty Toys detected in a production depends on the supervisor on duty and is detected according to a Poisson Process. There are only 2 supervisors: A and B, in the firm. The average number of faulty Toys is 3 per day when A is on duty, while the average number of faulty Toys is 4 per day when B is on duty. quality of one day's production does not have an effect on the next day. B works 4 out of 5 days, while A works 3 out of 5 days.

 

a) What is the probability that no faulty Toys will be produced tomorrow, if B is on duty?

b) What is the probability that no faulty Toys will be produced in the next two days?

c)  Suppose at least one faulty Toy was produced yesterday, what is the probability that A was on duty?

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